SOLUTION: Finite mathematics- Miss Anderson wants to select a committee of five people from her class for student council. Her class consists of 10 freshman, 3 sophomores, 6 juniors, and

Question 1158935: Finite mathematics-
Miss Anderson wants to select a committee of five people from her class for student council. Her class consists of 10 freshman, 3 sophomores, 6 juniors, and 8 seniors.
A) How many five person committees have 2 freshmen, 1 sophomore, and 2 seniors?
B) How many five person committees have exactly 1 sophomore?
C) How many five person committees have at least 2 juniors?
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
A)How many five person committees have 2 freshmen, 1 sophomore, and 2 seniors?

10C2 * 3C1 * 8C2 = = 45 * 3 * 28 = 3780

B)How many five person committees have exactly 1 sophomore?

3C1 * 24C4 = = 3 * 10626 = 31878

C)How many five person committees have at least 2 juniors?

(6C2 * 21C3) + (6C3 * 21C2) + (6C4 * 21C1) + 6C5 =

= (15 * 1330) + (20 * 210) + (15 * 21) + 6

= 19950 + 4200 + 315 + 6 = 24471
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