JAMB 2018 · UTME · Q27

In how many ways can 6 subjects be selected from 10 subjects for an examination?

Worked solution (try it first)
  1. The order of the subjects doesn't matter, so this is 10C6^{10}C_6, which is the same as 10C4^{10}C_4.
  2. 10C4=10×9×8×74×3×2×1^{10}C_4 = \dfrac{10 \times 9 \times 8 \times 7}{4 \times 3 \times 2 \times 1}
    =504024= \dfrac{5040}{24}.
  3. That is 210, option D.

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