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WAEC 2020 · Paper 1 · Q26

In how many ways can the letters of the word MEMBER be arranged?

Worked solution (try it first)
  1. MEMBER has 6 letters, with M twice and E twice.
  2. Divide 6!6! by 2!2! for each repeated letter: 6!2! 2!=7204\dfrac{6!}{2!\,2!} = \dfrac{720}{4}.
  3. So there are 180 arrangements, option C.

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