The senior class at a very small high school has 25 students. A committee of five people needs to be formed a. In how many ways can the committee members be chosen? b. If there are 13 girls and 12 boys in the class, in how many ways can the committee members be chosen if there are three girls and two boys?

Question

Mathematics

Josiah Hebert

8 April, 06:43

The senior class at a very small high school has 25 students. A committee of five people needs to be formed a. In how many ways can the committee members be chosen? b. If there are 13 girls and 12 boys in the class, in how many ways can the committee members be chosen if there are three girls and two boys?

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Answers (1)

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Audi · Answer 1

55130 ways to chosen the committee members

18876 ways to chosen the committee members if there are three girls and two boys

Step-by-step explanation:

given data

students = 25

girls = 12

boys = 12

to find out

how many ways can the committee members be chosen and if there are three girls and two boys

solution

no of way chosen 5 member committee is 25C5

that is 25C5 are the 55130

so 55130 ways to chosen the committee members

and

if there are three girls and two boys then

way of chosen are

13C3 * 12C2

that are = 286 * 66 = 18876 ways

18876 ways to chosen the committee members if there are three girls and two boys