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# TOMATO Objective 44 Try this problem from Test of Mathematics, TOMATO Objective problem number 44, useful for ISI B.Stat and B.Math.

Problem: TOMATO Objective 44

Suppose that (n> 2) are real numbers such that x for . Consider the sum where the summations are taken over all i, j, k: and i, j, k are all distinct. Then S equals:

(A) ; (B) (n-3)(n-4); (C) (n-3)(n-4)(n-5); (D) none of the foregoing expressions;

Discussion:  Since Hence Since and Therefore .

Hence option D

Our ISI CMI Program

How to use invariance in Combinatorics – ISI Entrance Problem – Video

Try this problem from Test of Mathematics, TOMATO Objective problem number 44, useful for ISI B.Stat and B.Math.

Problem: TOMATO Objective 44

Suppose that (n> 2) are real numbers such that x for . Consider the sum where the summations are taken over all i, j, k: and i, j, k are all distinct. Then S equals:

(A) ; (B) (n-3)(n-4); (C) (n-3)(n-4)(n-5); (D) none of the foregoing expressions;

Discussion:  Since Hence Since and Therefore .

Hence option D

Our ISI CMI Program

How to use invariance in Combinatorics – ISI Entrance Problem – Video

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