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How many 5-digit telephone numbers can b...

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?

Text Solution

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There are 10 digits from 0 to 9. 67 I II III
No. of ways of filling first digit after 67 = 8
No. of ways of filling second digit after = 67 = 7
No. of ways of filling thrid digit after 67 = 6
There total number of telephone numbers
`= 8 xx 7 xx 6 = 336`
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