JEE Main Test 17

Result

JEE Main Test 17

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Weekly Quiz Competition

Question 1
4 / -1

Statement-1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is ⁹C₃
Statement-2: The number of ways of choosing any 3 places from 9 different places is ⁹C₃.

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.

Solution

∴ The number of ways of distributing n identical objects among r persons such that each person gets at least one object is same as the number of ways of selecting (r - 1) places out of (n-1) different places, that is ^n-1C_r-1.
Therefore, statement 1 is true, and statement 2 is true but statement 2 is not the correct reason or explanation for statement 1.
Hence, option B is correct.