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10 freshmen, 8 sophomores, 7 juniors, and 9 seniors are eligible to be on a committee.

In how many ways can a dance committee of 18 students be chosen?

In how many ways can a dance committee be chosen if it is to consist of 6 freshmen, 4 sophomores, 3 juniors, and 5 seniors.

Total way of selection is

250046000

Step-by-step explanation:

Total ways of selecting 5 seniors from 9 is 9c5

and Total ways of selecting 3 juniors from 7 is 7c3

ways of selecting 4 sopho from 8 is 8c4

ways of selecting 6 freshman from 10 is 10c6

now, total way of selection come to be

10c6 × 8c4 × 7c3 × 9c5

=210×70×35×126

=250047000

✌️:)

answer: b

step-by-step explanation: