Suppose we want to choose 6 colors, without replacement, from 11 distinct colors. (a) If the order of the choices is relevant, how many ways can this be done? 0 (b) If the order of the choices is not relevant, how many ways can this be done? 0

Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: Suppose we want to choose 5 letters, without replacement, from 14  distinct letters. (a) If the…

A: To find : If the order of the choices matters, how many ways can this be done?

Q: 2 students is to be chosen from a 32-member class to represent the class on the student council. How…

A: Permutation: The procedures of permutation and combination are used to count the number of…

Q: (a) In how many ways can 8 books be choosen from a group of nine? Your answer is: (b) How many ways…

A:

Q: You are planning a vacation to Patagonia. You have a choice of 4 hotels at which to stay, and a…

A: Given In Patagonia, there are 4 hotels, 3 different car rental companies and Patagonia provide 5…

Q: What are the possible orders for the elements of S6 and A6? Whatabout A7?

A: The given S6 is symmetric permutations. And A6 is even permutations. We have to find the possible…

Q: How many ways can 7 students standing in a line be arranged John must be first in line and Chloe be…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: quarters, and you select 3 coins:   (d) In how many ways can the selection be made if you have…

A: Given that there are  8 dimes and 4 quarters Suppose three coins are selected . (d) The objective is…

Q: Suppose we want to choose 4 colors, without replacement, from 18 distinct colors. How many ways…

A: From the provided information, Total distinct colors = 18 Number of colors to be chosen = 4 If the…

Q: In how many ways can a father distribute 7 gifts to his 3 children, if the oldest child receives 3…

A: It is given that one child receives 3 gifts and the other two children receives 2 gifts each.

Q: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf,  if the books B and

A:

Q: Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple,…

A: Given,Total no.of colors=5 (red,blue,green,purple and yellow)

Q: In a class, there are 5 boys and 4 girls. How many ways can we form a committee / group / team of 3…

A: The number of boys and girls in the class are 5 and 4 respectively. The committee must have 3…

Q: There is a drawer with a total of 7 socks in it. Four (4) socks are blue and three (3) socks are…

A: Four (4) socks are blue and three (3) socks are yellow

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: You are planning a vacation to Patagonia, You have a choice of 3 hotels at which to stay, and a…

A: There are 3 choice of staying hotels, 5 different choices to use car rental companies and 4…

Q: Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate…

A: Given,no.of black jelly beans=5no.of red  jelly beans=1no.of yellow  jelly beans=3Total no.of  jelly…

Q: Suppose we want to choose  3  colors, without replacement, from the  4  colors red, blue, green, and…

A: It is given that there 4 colors red,blue,green and purple.  and we need  to choose 3 colors without…

Q: 4) You want to know if an octopus (octopi are very intelligent!) can tell the difference between…

A: To determine whether the octopus can tell the difference between circles and rectangles based on the…

Q: Suppose we want to choose 4 letters, without replacement, from 18 distinct letters. (a) How many…

A: Permutation and combination are the techniques for estimating the number of ways of selecting the…

Q: In a class , there are 6 boys and 5 girls . How many ways can we form a committee / group / team of…

A: Using permutations and combinations we can solve for the total number of ways in which a group of 6…

Q: Example 52. A committee consisting of 5 members is to be formed out of 6 men and 4 women. How many…

A:

Q: How many ways can 4 prizes be given away to 3 boys (one boy can receive 1 prize), if each boy is…

A: Let b1,b2, and b3 are 3 boys Let p1,p2,p3 and p4 are four prizes. b1 can receive any of the 4…

Q: (b) A flowerpot contains 5 red roses and 7 yellow roses. Hana randomly selects some roses from the…

A: Given that the flowerpot contains 5 red roses and 7 yellow roses.

Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (If…

A: given data,  we want  to choose 2 letters, ,without replacement  letters A,B,C,D  and Ewe have to…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate…

A: Given 16 smokers 22 non smokers

Q: For the rest of the problems in this section, decide whether to use permutations or combinations.…

A: Given: Number of yellow marbles=3 Number of white marbles=4 Number of blue marbles=9 Total number of…

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 8…

A: Given data: The number of cars to pick is r=4. The number of subcompact cars is s=8. The number of…

Q: (3) The soccer team is silk-screening T-shirts. They have 4 different colors of T-shirts and 2…

A: We have to slove above question

Q: 16.) A group of 2 professors and 5 students (3 grad students and 2 undergrads) go to a movie…

A: There are 2 professors and 3 grad students and 2 undergrads students. The row is 7 seated. n= 7