Questions
The number of positive integral solutions satisfying the equation is
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a
1875
b
1600
c
1250
d
None of these
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Correct option is D
We have, x1⋅x2⋅x3⋅x4⋅x5=240 where x1,x2,x3,x4,x5 are natural numbers.Now, by using prime factorization of 240, we can write the given equation as x1x2x3x4x5=24×3×5Now, we can assign 3 and 5 to any of 5 unknowns in 5 x 5ways.We can assign 24 to x1,x2,x3,x4,x5 ina+b+c+d+e=4 ⇒4+5−1C5−1=8C4, ways ∴ Required number of ways =8C4×25=1750Similar Questions
Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls is
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