How many different 5-digit whole
numbers can be made using the
digits 2,3,4,5 and 6 when each
digit can be used once only?
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Answer: 120 numbers
Step by step explanation:
The number P of permutations that can be made in a set of N elements, taken from k to k, is:
P = N! / (N-k)!
The number of permutations P that can be made in a set of 5 elements, taken 5 at a time, is calculated:
P = 5! / (5 - 5)!
P = 5! / 0!
P = 5! / 1
P = 5! = 1 x 2 x 3 x 4 x 5 = 120
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