Question

In how many ways 6 girls out of 12 girls in a class may be selected for a team so that 2 particular girls (captain and vice-captain) are always there?

Answer 1

Given : 12 Girls

Team of 6 girls' to be selected and 2 particular girls (captain and vice-captain) are always there

To Find : Number of Ways

Solution:

Total Girls  = 12

Total to be selected = 6

Pre selected = 2

Remaining selection = 6 - 2 = 4

Remaining Girls = 12 - 2 = 10

4 girls out of 10 can be selected in ¹⁰C₄  ways

= 10!/6!*4!

= 10 * 9 * 8 * 7 / 4 * 3  * 2 * 1

= 210

210 Ways  - 6 girls out of 12 girls in a class may be selected for a team so that 2 particular girls (captain and vice-captain) are always there

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