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=(14!)/(4!(14-4)!) \\ =(14!)/(14!*10!) \\ =1001 \end{gathered}`

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