Let a, b, c be positive integers such that a + b + c = n. Match the items of column I with that of column II Column-IColumn-II(i) (aa bbcc)1/n is less than or equal to[A] (ii) (abbcca)1/n is less than or equal to[B] (iii) (acbacb)1/n is less than or equal to[C] abc(iv) (aa bbcc)1/n +(abbcca)1/n + (acbacb)1/n is less than or equal to[D] n

Let a, b, c be positive integers such that a + b + c = n. M…

Maths Permutations & Combination Mix Matrix Match Questions

Published on: August 13, 2026

Let a, b, c be positive integers such that a + b + c = n. Match the items of column I with that of column II

Column-I	Column-II
(i) (aa bbcc)1/n is less than or equal to	[A]
(ii) (abbcca)1/n is less than or equal to	[B]
(iii) (acbacb)1/n is less than or equal to	[C] abc
(iv) (aa bbcc)1/n +(abbcca)1/n + (acbacb)1/n is less than or equal to	[D] n

Correct Matrix Matching

Verified by Experts

The correct answer is:

(i) [B]; (ii) [A]; (iii) [A]; (iv) [C]; (iii) (iv)

Ans.

(i) [B], [C]

(ii) [A], [B], [C]

(iii) [A], [B], [C]

(iv) [C] , [D]

Sol. (i)

≥

⇒ ≥ and a a/n b b/n c c/n ≤ abc

(ii)

≥

⇒ ≥ (a b b c c a ) 1/n

Also a b/n b c/n c a/n ≤ abc

also a b/n b c/n c a/n ≤

and a b/n b c/n c a/n ≤ a + b + c = n

(iii) Similarly for (iii)

(iv) ≤

= = n = a + b + c

also ≤ abc

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