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In how many ways can 3 clerks and 1 peon be selected from 14 clerks and 6 peons working in a bank?

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In how many ways can 3 clerks and 1 peon be selected from 14 clerks and 6 peons working in a bank?

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3 clerks out of 14 clerks can be selected in 14C3 ways and one peon out of 6 peons can be selected in 6C1 ways.

∴ Total combinations = 14C3 × 6C1

= \(\frac{14×13×12}{3×2×1}\) × 6

= 2184

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