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If n is the number of positive integral ...

If n is the number of positive integral solutions of `x_1 x_2 x_3 x_4 = 210`. Then

A

n must be divisible by 3 distinct primes

B

n must be a perfect square

C

n msut be a perfect 4th power

D

n must be a perfect 8th power

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The correct Answer is:
b,c,d
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FIITJEE-PERMUTATIONS & COMBINATIONS-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL II
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  2. If n is the number of positive integral solutions of x1 x2 x3 x4 = 21...

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  4. If p,q,r,s,t be distinct primes and N=pq^(2)r^(3)st, then

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  5. The number non-negative integral solutions of x(1)+x(2)+x(3)+x(4) le n...

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  6. The number 24! is divisible by

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