How many numbers can be formed using the digits 0, 1, 2, 3, 4, 5 … - Vidyadip

Question

How many numbers can be formed using the digits 0, 1, 2, 3, 4, 5 without repetition so that resulting numbers are between 100 and 1000?

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Answer

A number between 100 and 1000 that can be formed from the digits 0, 1, 2, 3, 4, 5 is of 3 digits, and repetition of digits is not allowed. ∴ 100’s place can be filled in 5 ways as it is a non-zero number. 10’s place digits can be filled in 5 ways. Unit’s place digit can be filled in 4 ways. ∴ Total number of ways the number can be formed = 5 × 5 × 4 = 100

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