JEE MATHEMATICS MCQ: COMBINATIONS

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In an steamer there are stalls for 12 animals and there are hours, cows and calves (not less then 12 each) ready to be shipped in how many ways can the ship load be made?

View answer and explanation

Correct option: B

{3^{12}}

Option B (

{3^{12}}

) is correct because each stall can be filled with any of the 3 types of animals, leading to 3 options for each of the 12 stalls.

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m \times n

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{\;^{n + 2}}{C_8}:{\;^{n - 2}}{P_4} = \frac{{57}}{{16}}

, then

n

is equal to