Home Maths Permutations & Combination JEE (Main) / AIEEE Problems (Previous Years) Statement-1 : The number of ways of distribu…
Maths Permutations & Combination JEE (Main) / AIEEE Problems (Previous Years) Single Correct MCQ
Published on: August 13, 2026

Statement-1 : The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is .

Statement-2 : The number of ways of choosing any 3 places from 9 different places is .

A
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
B
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
C
Statement-1 is true, Statement-2 is false.
D
Statement-1 is false, Statement-2 is true.

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Text Solution

Verified by Experts
The correct answer is:
A

Statement - 1 :

B 1 + B 2 + B 3 + B 4 = 10 = coefficient of x 10 in (x 1 + x 2 + .....+ x 7 ) 4

= coefficient of x 6 in (1 – x 7 ) 4 (1 – x) –4 = 4+6–1 C 6 = 9 C 3

Statement - 2 : Obviously 9 C 3

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