How many ways are there that no two students will have the same birth date in a class of size 60?

Q: How many ways can we arrange eleven bowling balls numbered 1 to 11 in a circle if the even- numbered…

A:

Q: In how many ways can first, second, and third prizes be awarded in a contest with 875 contestants?…

A: Given information- We have given that in a contest 875 contestants participated. We have to give…

Q: In how many different ways can the letters in "restlessness" be arranged?

A: From the provided information, The total letters in word “restlessness” are 12. The letters are…

Q: If you toss 10 fair coins,in how many ways can you obtain at least one head?

A: Given: 10 fair coins are tossed. We want to calculate the number of ways in which we can obtain at…

Q: A brand of jeans comes in nine different washes, five different fit styles, and three different…

A: Given that there are: 9 different washes, 5 different fit styles, 3 different height options.   2 of…

Q: In how many ways can a student choose to do 7 questions out of 8 on a test?

A:

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: how can the children in ms. varner's class tell if there is an even or odd number of children in the…

A: The children's are :

Q: A committee of four people is to be chosen from a nine member group to represent the group on an…

A: No of combinations of n objects takes r at a time isncr=n!n-r!r!Similarly here 4 members to be…

Q: In how many ways can 10 people be seated in 10 adjacent seats in a theater?

A: Given: In how many ways can 10 people be seated in 10 adjacent seats in a theater. We need to…

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: Out of 6 children, in how many ways can a family have at least 1 girl?

A:

Q: How many ways can 7 out of 15 patients with the same illness be randomly selected to receive an…

A: The question is asking for the number of ways to choose 7 patients out of 15. This is a problem of…

Q: In how many ways can we select seven cases of beer from three brands if order does not matter?

A: = 36Explanation:To solve this problem, we need to use the concept of combinations. Given…

Q: How many possible ways can the top 5 finishers come in during a race with 24 racers? Each place…

A: This is a permutation problem.   Out of the 24, there will be 5 racers in the top 5.

Q: In how many ways can nature select 4 students out of a class of 15 students to get the flu? In how…

A:

Q: A race is being run by ten horses. How many distinct permutations of first, second, and third place…

A: Let n be the number of horses run in a race. i.e. n=10 and r be the number of places to be awarded.…

Q: In how many ways can the judges in the Miss USA pageant choose the American representatives to the…

A: The number of ways can the judges in the Miss USA pageant choose the American representatives to the…

Q: A new smartphone comes in five colors, two screen sizes, and four different data plans.  In how many…

A: It is given that a new smartphone comes in five colors, two screen sizes, and four different data…