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Statement-1: If N the number of positive...

Statement-1: If N the number of positive integral solutions of `x_(1)x_(2)x_(3)x_(4)=770`, then N is divisible by 4 distinct prime numbers.
Statement-2: Prime numbers are 2,3,5,7,11,13, . . which of the statements are true ?

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The correct Answer is:
A

`(a)` `770=2xx5xx7xx11`
We can assign `2` to `x_(1)`, or `x_(2)` or `x_(3)` or `x_(4)`.
Thus `2` can be assigned in `4` ways similarly each of `5,7,11` can be assigned in `4` ways
No. of solutions `=4xx4xx4xx4=256`
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