Question

Answer the following:

30 objects are to be divided in three groups containing 7, 10, 13 objects. Find the number of distinct ways for doing so.

Answer 1

Required number = ³⁰C₇ × ²³C₁₀ × ¹³C₁₃

= `(30!)/(23!7!) xx (23!)/(10!13!) xx1`

= `(30!)/(7!10!13!)`