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bogdanovich [222]

2 years ago

13

At a high school the student government is made up of 5 seniors, 4 juniors, 3 sophomores and 2 freshmen. If there are 8 seniors,

9 juniors, 12 sophomores and 7 freshmen running, in how many ways can the student government be selected?

1 answer:

hjlf2 years ago

5 0

Answer:

32598720

Step-by-step explanation:

<u>Combination for the school government requires:</u>

5 out of 8 seniors = 8! / 3!5! = 6*7*8/2*3 = 7*8 = 56
4 out of 9 juniors = 9! / 4!5! = 6*7*8*9/2*3*4= 7*2*9 = 126
3 out of 12 sophomores = 12! / 3!9! = 10*11*12/2*3 = 10*11*2 = 220
2 out of 7 fishermen = 7! / 2!5! = 6*7/2 = 21

<u>So number of total ways is:</u>

56*126*220*21 = 32598720

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step 2

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step 3

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