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?
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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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