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For first 10 positive integers find a number as product of numbers before that is same as product of numbers after it?

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1, 2, 3, 4, 5, 6, 7, 8, 9, 10
The above are the first 10 positive integers. The product of the numbers before the number __ is the same as the product of the numbers after that number.

posted Sep 13 by anonymous

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1 Solution

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ANSWER IS 7
Before 7 product is 6*5*4*3*2*1 = 720
and after 7 product is 8*9*10 = 720
The product of the numbers before the number ** 7 ** is the same as the product of the numbers after that number.

solution Sep 13 by Mogadala Ramana



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Find four numbers so that the same answer is obtained when:
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See the following table

Number    Number of positive divisors
1           1
2*2         3
3*3*3       4
4*4*4*4     9 

As n increases, the number of positive divisors of nxnxnxn.....n (n times) increases. Is it true or false?

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