IIT JEE , AIEEE Forum - Mathematics , Algebra - find the number of positive integral solutions of the equation x1x2x3x4x5 = 1050

sarita

find the number of positive integral solutions of the equation x₁X₂X₃X₄X₅ = 1050

A 1880

B 1865

C 1875

D 1810

sarthak_jain

is it 1875?

Greatdreams

1050 = 2 * 3 * 5 * 5 * 7

Now we have been given x1 , x2 , x3 , x4 , x5

now 2 or 3 or 7 , so number of ways = 5 ³ ways

So we have 5 to deal with

Now we can have 2 * 3 * 7 * 25 * 1 or 2 * 3 * 7 * 5 * 5

So number of ways of arranging the 5 s are 5 C1 + 5 C2 = 15

So total number of ways = 5³ * 15 = 125 * 15 = 1875

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