1. A committee of 6 is chosen from a group consisting of 8 juniors and 6 sophomores. In how many ways can the committee be made up of 4 juniors and the remainder sophomores? 2. How many 3 digit numbers can be formed from the digits 0,1,3,7,9 if each digit is only used once?

Q: Two coins are randomly drawn from a coin pouch. If there are 5 dimes, 2 nickels, and a quarter, how…

A: As given there are 5 dimes, 2 nickels, and a quarter in a pouch. 1 nickel = 5 cents 1 dime = 10…

Q: In a shipment of 10 items where 3 are defective. In how many ways can you receive 4 items where 2…

A:

Q: A box contains 9 red, 8 blue, and 13 green balls of the same size. How many balls, do we need to…

A:

Q: 1. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

A:

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: Determine if the following scenarios represent combinations or permutations. a. How many ways are…

A: Both Permutations and combinations are used to arrange the selection of k units from a set of…

Q: A race has 10 runners. In how many ways can the first three places be decided?

A: Here use combination

Q: 3. Five cards are dealt off of a standard 52-card deck and lined up in a row. How many such lineups…

A:

Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: How many five-card hands contain exactly four jacks or exactly four black cards?

A: Total cards in a deck = 52 Total Jacks = 4 Total black cards = 26

Q: 2. P =

A: 2) Permutations: A permutation is a mathematical technique which is defined as the number of…

Q: 2. A teacher wants to randomly choose 5 people from the class of 30 to help out at the open day BBQ.…

A: No.of students in a class, n = 30 No.of people chosen from the class to help out at the open day…

Q: 1. Consider the two-digit positive integers 10, 11, 12, .., 99. Answer the following questions. a.…

A:

Q: Apply the Fundamental Properties of Counting or Permutation to solve for the following problems.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What's the difference between permutations and combinations 2. There are 14 flavors at the frozen…

A: The first part of the question is asking for the difference between permutations and combinations.…

Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: Suppose that 9 horses run a race. How many first-, second-, and third-place finishes are possible?

A:

Q: In how many ways can you invite one or more of your five friends to a party?

A: There are total 5 friends available among which 1 or more than 1 friends can be invited to the…

Q: Suppose you play a "daily number" lottery game in which three digits from 1-9 are selected at…

A: Given,no.of digits from 1-9 =9

Q: In a particular lottery, 8 winning numbers are drawn from a group of 53 numbers. The order that the…

A: Total numbers of lotteries are 53. The total winning number are 8.

Q: Select the following statements that are true. If 121 people are betting on the win, place, and show…

A: Let us look at the statements one by one. 1) Statement: If 121 people are betting on the win, place,…

Q: combination) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-cards hands…

A: To find a. How many 5-cards hands are there consisting of all diamond suits b. How many 5-cards…

Q: If 3 books, each by a different author, are randomly stacked one on top of the other, what is the…

A: To determine the probability.

Q: How many permutations of three items can be selected from a group of six? Use the letters A, B, C,…

A: To calculate the no. of permutations of three items can be selected from a group of six and also…

Q: In how many ways can a person choose three movies to watch from a collection of 7 suggested movies?

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: Find the permutation. From 1650 raffle entries, five entries will be chosen for first, second,…

A:

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

Q: How many ways can a jury of 6 women and 6 men be selected from 10 women and 12 men?   B. Andersen…

A: total women = 10, selected =6 total men = 12, selected = 6   no. of ways = C610 x C612 =…

Q: Find the number of full houses in a poker hand, that is, the number of poker hands with three of a…

A: Let there be 4C3 =4 by choosing the 3 cards of the same typesand 4C3 =6  by choosing…

Q: 4. How many cards must you pick from a standard 52-card deck to be sure of getting at least 1 red…

A: Explanation:in this given 52 cards deck asking why  In step2 explanation will there

Q: If a bank sends a random 5-digit number to customers for security, how many potential numbers are…

A:

Q: 1. A bag of balls contains 5 different colored balls that are alike except for the color. The colors…

A:

Q: 1. How many 4-letter passwords can be formed using the letters in the word "HONESTY" if the 4-letter…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…