3. Suppose there are 6 black pens, 7 blue pens, and 5 red pens. Find the number of ways you can choose: a) one of the pens b) one of each type of pens
Q: A committee has 20 people. In how many ways can a President, Vice-President, and Secretary be…
A: Note: Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…
Q: Assume that the camper has 6 jackets, 3 sleeping bags, and 13 different packages of food. An outfit…
A: It is given that the number of jackets is 6, the number of sleeping bags is 3 and the number of…
Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…
A:
Q: 2. In a group of 45 students, 23 take history, 18 take biology and 10 take both history and biology.…
A: Given : Total number of students = 45 Number of students taking history = 23 Number of students…
Q: a) Transport vehicles leaving the port with containers must have the containers tagged based on…
A:
Q: Assume that the camper has 5 jackets, 5 sleeping bags, and 12 different packages of food. An outfit…
A: Given that the camper has 5 jackets, 5 sleeping bags and 12 different packages of food. An outfit…
Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…
A:
Q: An employment agency has 6 temporary workers. In how many ways could 3 of them be assigned to 3…
A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…
Q: 7.) CD Selection: James ruiz has 7 CDs and wants to select 4 to play in his car CD player. In how…
A:
Q: a. moblle phone snop has plors of 0, 8 of headphone. In how many ways a customer can che with a…
A: Given, A mobile shop has : 7 colors of ipad 8 colors of HCT mobile 4 colors of headphone to find…
Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…
A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…
Q: A class consists of 12 students (six boys and six girls) and one teacher. In how many ways can the…
A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…
Q: There are 6 people lining up to get on a bus. If 2 specific persons, among 6, refuse to follow each…
A: The problem is solved using the concept of permutation and combination. Total people = 6
Q: How many ways can you pick the cars so not both are the same siz
A: Number of subcompact cars=7 Number of compact cars= 4 Number of midsize cars= 7 Total cars= 18
Q: A jar contains four white balls, eight black balls, and six red balls. In how many ways can two…
A: Given :Total number of balls in a Total number of white balls = 4 Total number of black balls = 8…
Q: There are 5 bus lines from city A to B and 4 bus lines from city B to city C. Find the number of…
A:
Q: from. Determine the number of ways the greenhouse could select 4 tropical plants and 4 exotic plants…
A: here given , A local greenhouse is creating a plant display for a mall. The greenhouse currently…
Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 4 colors, and 5 fabrics, in…
A: Given that, Number of styles = 3 Number of colors = 4 Number of fabrics = 5
Q: Count.... a) 18 5 b. How many different 5-person teams can be formed from 15 students?
A: a) 8568 b) 3003
Q: Assume that there are 6 types of upholstery, 2 types of wood, and 5 designs to choose from. Of the…
A: Of the 5 designs, 4 designs permit both a choice of wood and a choice of upholstery. We can pick…
Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…
A: From the provided information, The grades are A, B, C, D or F Total students = 9
Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 5 colors, and 4 fabrics, in…
A: Given: Styles = 3 Colors = 5 Fabrics = 4 The number of ways that she can select the bridesmaids…
Q: A drawer has 20 black socks, 20 gray socks and 20 blue socks. a) How many socks do you have to take…
A: Given: A drawer has 20 black socks, 20 gray socks, and 20 blue socks. a) To be sure of getting a…
Q: Maria needs to take three physical education classes in order to graduate. Her college has 12…
A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…
Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…
A:
Q: real estate company has 20 houses listed for sale by their clients. In how many ways can 4 of the 20…
A:
Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?
A:
Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?
A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…
Q: There are 33 guests at your home for a dinner party. In how many ways could the guests arrange…
A: The objective of this question is to find out the number of ways in which 33 guests can arrange…
Q: A teacher chooses 3 of her 22 students to help clean the room after school. In how many ways can the…
A:
Q: here are five bus lines from city A to city B and four bus lines from city B to city C. Find the…
A: Given that Number of Bus lines from city A to City B = 5 Number of Bus lines from city B to city C…
Q: A group of 9 women and 6 men must select a 4-person committee. How many committees are possible if…
A: The group contains 9 women and 6 men. A 4-person committee is selected. a) The number of ways to…
Q: Assume that the camper has 5 jackets, 3 sleeping bags, and 14 different packages of food. An outfit…
A: Combination is the way of selecting a units from a set without considering position of order. The…
Q: A large research project is looking for more researchers. There are 8 spots open on the research…
A:
Q: Example: Rectangle land of area is measured and formed to be 800 m ± 0.12m while the width is 550m…
A: Given Length of rectangle =800m±0.12m width of rectangle=550m±0.07m Find the standard deviation of…
Q: If someone owns: 7 pants 1 shirt 5 ties 7 jackets, how many different outfits can that person make?
A: We have given that someone owns: 7 pants 1 shirt 5 ties 7 jackets
Step by step
Solved in 3 steps
- Assume that there are 4 types of upholstery, 4 types of wood, and 5 designs to choose from. Of the designs, 4 designs permit both a choice of wood and a choice of upholstery, but 1 of the design allows only a choice of upholstery. How many different chairs can be made?If there are three routes from Detroit to Chicago and 8 routes from Chicago to Michigan, how many different routes may be taken in going to Detroit to Michigan via Chicago? Answer. 24 waysA jar of jellybeans has three different colors of jellybeans: green, red, and yellow. Let’s use symbols to represent each color: green = g, red = r, and yellow = y. If you choose a handful of four jellybeans from the jar, how many different combinations of jellybeans are possible? Assume there are at least four of each color.
- A computer package comes with two different choices of printer, four different monitors, and 2 different colors. How many ways are there to choose a printer, a monitor, and a color? O a. 64 O b. 512 Oc. 16 O d. 158If there are 11 employees in a club, in how many ways can they choose a dishwasher and a bouncer?A bride is choosing a dress for her bridesmaids. If there are 5 styles, 2 colors, and 7 fabrics, in how many ways can she select the bridesmaids' dress?
- A box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. Assume the plain donuts are identical, and the chocolate donuts are identical. How many visually distinct arrangements of the donuts are there?there are 18 people from the mathematics department and 325 people from the computer science department in a collegea. how many ways are there to get two representatives?so that one person is from the mathematics department and the other is from the computer science department?b. how many ways are there to get one elected representative, from a combination of the two majors?Tree Mr. and Mrs. Frank just moved into a new home and need to do some landscaping. They are going to purchase one tree, one shrub, and Oak (0) one lilac bush at random from the list to the right. Use this list to complete parts a) through e). Elm (E) Birch (8) Shrubs Lilac bushes Gold Mop (G) Primrose (P) Holly (H) Tinkerbelle (T) a) Determine the number of sample points in the sample space. The number of points in the sample space is b) Construct a tree diagram and determine the sample space Construct a tree diagram. C Determine the sample space. Choose the correct answer below. OA. O, E, B, G, H, P. T OB. GP GT. HP. HT OC. EHP, EHT, BGP, BGT, BHP, BHT OD. OGP. OGT, OHP, OHT, EGP. EGT, EHP, EHT, BGP, BGT, BHP, BHT c) Determine the probability that the Franks select a birch tree. The probability is (Simplify your answer.) COCCOD
- A government office has four regional offices and 32 local offices. In how many different ways can it send a memo fro one of the regional offices to one of its local ofices?An ice cream store has 25 flavors to select from. A customer walks in and orders a three-scoop ice cream cone. How many ways can the customer make this selection if... a. the flavors can be the same and the order is important? b. the flavors are different and the order is not important?