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JAMB 2014 · UTME · Q48

In how many ways can a team of 3 girls be selected from 7 girls?

Worked solution (try it first)
  1. A team is a selection, so the order doesn't matter: this is 7C3^7C_3.
  2. nCr=n!r! (n−r)!^nC_r = \dfrac{n!}{r!\,(n - r)!}, so 7C3=7!3! 4!^7C_3 = \dfrac{7!}{3!\,4!}, option D.

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