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Question

How many 3digit numbers by using the digits 0,1,3,4,6,7can be possible if repetition is allowed?


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Solution

To find the total numbers:

Repetition is allowed and digits 0,1,3,4,6,7

Ways to fill the first digit of the number =5 (Since 0 cannot be in the first place)

Ways to fill the second digit of the number=6

Ways to fill the third digit of the number =6

Thus total 3digit numbers =5×6×6=180

Hence, the total number of 3digit numbers that can be formed is180


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