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 .

Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

Statement-1 is true, Statement-2 is false.

Statement-1 is false, Statement-2 is true.

Solution

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

Statement - 1 :
B₁ + B₂ + B₃ + B₄ = 10 = coefficient of x
10in (x¹ + x² + .....+ x⁷)⁴
= coefficient of x⁶ in (1 - x⁷)⁴ (1 - x)^-4
= ^4+6-1C₆ =⁹C₃
Statement -2 :Obviously ⁹C₃

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