WAEC 2020 · Paper 1 · Q32

A three-digit odd number less than 500 is to be formed from 1, 2, 3, 4 and 5. If repetition of digits is allowed, in how many ways can this be done?

Worked solution (try it first)
  1. First digit: less than 500 means it is 1, 2, 3 or 4, so 4 choices.
  2. Middle digit: any of the 5 digits (repetition allowed), so 5 choices.
  3. Last digit: odd means 1, 3 or 5, so 3 choices.
  4. Multiply: 4×5×3=604 \times 5 \times 3 = 60 ways, option C.

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