How to solve Iift 2009 Question 103?

This question can be solved by applying the core concept explained in the solution above, followed by step-by-step calculation and elimination of options.

Which concept is tested in this question?

This question tests fundamental concepts commonly asked in IIFT exams.

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Iift 2009 Question 103

This is a detailed step-by-step solution for Iift 2009 Question 103. Understand the concept, common mistakes, and expert tips to solve similar questions in IIFT exam.

IIFT 2009

All the terms of the expansion (X + Y + Z + W )³⁰are of the form k ∗ X^a ∗ Y ^b ∗ Z^c ∗W^d where a,b,c,d are all positive integers
and a+b+c+d=30
We need to find number of solutions of above equation and that will be the number of distinct terms in the expansion
number of solutions of equation a+b+c+d=30 is given by (n + r − 1)Cr−1 here n = 30 and r = 4
therefore number of solutions = (33)C₃ = 5456
Therefore our answer is Option 'B'

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