Grade 5 problem

Counting · Grade 5

A team has four members. One must be appointed captain and a different member must be appointed deputy. How many different appointments are possible?

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  1. The two roles are different, so the order of selection matters.
  2. Each of the four possible captains has three possible deputies.
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Answer: 12

Any of the four members can be captain. A deputy is then chosen from the other three. The total is 4 × 3 = 12 appointments.

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