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JEE MATHEMATICS MCQ: COMBINATIONS

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At an election, three wards of a town are can vassesed by 3,4 and 5 men respectively. If 20 men volunteer, then the number ways can they be allotted to the different wards is

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Correct option: D

{ }^{20} C_3 \cdot{ }^{17} C_4 \cdot{ }^{13} C_5

Option D (

{}^{20} C_3 \cdot{}^{17} C_4 \cdot{}^{13} C_5

) is correct because it represents the number of ways to choose 3 men for the first ward, then 4 from the remaining for the second, and 5 from the rest for the third.

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n