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  • How many 5-digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?

How many 5-digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?

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Here the first two places are fixed and the digits do not repeat. Therefore, the third, fourth and fifth places can be filled in 8,7 and 6 ways respectively. 

The required number of telephone numbers= 8 imes7 imes 6=336.

Posted by

Deependra Verma

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