IIT JEE , AIEEE Forum - Mathematics , Algebra - To give the trick to solve such kind of quastion &to solve this quation.

father

If N is number of five intigral solution of v*w*x*y*z=770

puneet

So I guess we want to find N rite ??

So 770 = 2*5*7*11*1

Thus this is the only posititve solution ( here please note that i am assuming that the integeral solutions are distinct, otherwise (2,5,77,1,1) will also be a solution and so on)

Now there can be -ve integers as well ... However since 770 is positive only 2 or 4 out of 1,2,5,7,11 can be negative ...

So the total number of solutions will be 1 + ⁵C₂ + ⁵C₄ = 1 + 10 + 5 = 16

But please note the assmption that i have taken .... tell me if the answer is correct .. b'cos if the answer does not match then it means we cannot take that assumption. However i hope u have got the approach to solve the problem ..

cheers

father

Thank you Sir,
the answer is absolutely right.

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