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How many numbers can be formed from the digits 1, 2, 3 and 9 if repetition of digits is not allowed?

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How many numbers can be formed from the digits 1, 2, 3 and 9 if repetition of digits is not allowed?

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1 Answer

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Single digit 4 ways
Two digit 4 x 3 = 12 ways
Three digit 4 x 3 x 2 = 24 ways
Four digit 4 x 3 x 2 x 1 = 24 ways

Hence the number of total numbers = 4 + 12 + 24 + 24 = 64.

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