Question

using nCr solve:

In a high school Varsity Club which comprises of 15 Seniors, 20 Juniors, 25 Sophomore and 10 Freshmen, they wish to select its new Supreme Council. In the selection, you must abide by the following:

• The Captain must be a Senior.

• The Alternate Captain must be a Junior.

• Two Councillors, none of which can be a Senior.

Find the total number of ways of obtaining the Council.

Answer 1

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