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How many five-digit numbers can be made from the digits 1 to 7 if repetition is allowed?

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How many five-digit numbers can be made from the digits 1 to 7 if repetition is allowed?

(a) 16807

(b) 54629

(c) 23467

(d) 32354

This question was addressed to me during an internship interview.

My question is from Fundamental Principle of Counting in portion Counting of Discrete Mathematics

1 Answer

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Best answer
Correct option is (a) 16807

Easy explanation: 7^5 = 16807 ways of making the numbers consisting of five digits if repetition is allowed.

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