(Q). At an election three wards of a town are canvassed by 6, 7 & 10 men repectively. If there are 30 volunteers, in how many ways can they be allotted to different wards?
Solution:-
1st we will select 6 out of 30 in ³⁰C₆ ways then next 7 out of 24 in ²⁴C₇ ways & finally 10 in ¹⁷C₁₀ ways.
Hence total number of ways is = ³⁰C₆ײ⁴C₇×¹⁷C₁₀ Answer