JAMB 2002 · UME · Q28

Counting

How many three-digit numbers can be formed from 32564 without any digit being repeated?

Worked solution (try it first)

There are 5 different digits.
The hundreds digit can be any of the 5.
With no repeats, the tens digit has 4 choices left and the units digit 3.
So there are $5 \times 4 \times 3 = 60$ numbers, option C.

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