Question

Ms. Bell's mathematics class consists of 14 sophomores, 6 juniors, and 10 seniors.How many different ways can Ms. Bell create a 4-member committee of sophomoresif each sophomore has an equal chance of being selected?

Answer 1

Ms. Bell's mathematics class consists of 14 sophomores,

Ms. Bell create a 4-member committee of sophomores

if each sophomore has an equal chance of being selected

this is a combination

$\begin{gathered} ^{14}C_4=\frac{14!}{4!(14-4)!} \\ =\frac{14!}{14!\times10!} \\ =1001 \end{gathered}$

The answer is 1001.I’ve completed answering the question.