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The number of six-digit numbers all digi...

The number of six-digit numbers all digits of which are odd, is …… .

Text Solution

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The correct Answer is:
300
Clearly, one of the odd digits from 1,3,5,7,9 will be repeated. If digit '1' is repeated then number of ways of arranging 1,1,3,5,7,9 is `(5!)/(2!)`.
So, total number of numbers is `5xx(5!)/(2!)=300`
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