Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationDistributionHard2 minQB

MathematicsHardinteger

Out of 5 apples, 10 mangoes and 15 oranges, the number of ways of distributing 15 fruits each to two persons, is $n$ then $\frac{n}{22}$ is equal to

Answer:

Solution:

$x_{1} + x_{2} + x_{3} = 15$

$0 \leq x_{1} \leq 5, 0 \leq x_{2} \leq 10, 0 \leq x_{3} \leq 15$

$n =$ co-efficient of $x^{15} (1 - x^{6}) (1 - x^{11}) (1 - x^{16}) (1 - x)^{- 3}$ $n = 66$

$\frac{n}{22} = 3$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Distribution

⏱ 2mℹ️ Source: QB

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