WAEC 2023 · Paper 1 · Q20

In how many ways can four Mathematicians be selected from six?

Worked solution (try it first)
  1. A selection does not care about order, so use combinations.
  2. 6C4=6!4! 2!^{6}C_4 = \dfrac{6!}{4!\,2!}, which works out as 6×52=15\dfrac{6 \times 5}{2} = 15.
  3. So there are 15 ways, option A.

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