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  4. In how many ways can 17 persons depart from railway station in 2 cars and 3 autos, given that 2 particular person depart by same car ( 4 persons can sit in a car and 3 persons can sit in an auto). Let these ways are (k !/m !(n !)3) then (k+m+n) is equal to (internal arrangement of vehicle is not considered)

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Q. In how many ways can 17 persons depart from railway station in 2 cars and 3 autos, given that 2 particular person depart by same car ( 4 persons can sit in a car and 3 persons can sit in an auto). Let these ways are $\frac{k !}{m !(n !)^3}$ then $(k+m+n)$ is equal to (internal arrangement of vehicle is not considered)

Permutations and Combinations

Solution:

Correct answer is '22'