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 soph…

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asked Jul 11, 2023 116k views

1 Answer

Bart Bergmans · Answer 1 · 2023-07-17T07:56:48+0000

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.