Question

Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 13 seniors.
How
many
different ways can Ms. Bell create a 4-member committee of seniors if
each senior has an equal chance of being selected?​

Answer 1

Answer:715 ways

Step-by-step explanation:

Given

There are 12 sophomores

8 Juniors

and 13 seniors

Ms. bell create a 4- member committee  of seniors

No of ways of selecting 4 seniors out of 13

$=^{13}C_4$

$=\frac{13!}{9!4!}$

$=\frac{13\times 12\times 11\times 10}{4\times 3\times 2\times 1}$

$=715$

So, there are 715 ways of forming a 4 member senior committee.

Answer 2

Answer:

364

Step-by-step explanation:

Committee: Order Doesn’t Matter  

Only choosing from seniors: n=14  

Use Combinations.

14C3=364

=364