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Q.

In a steamer there are stalls for 12 animals and there are cows, horses and calves (not less than 12 of each) ready to be shipped; the total number of ways in which the shipload can be made, is

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a

$^{12} P_{3}$

b

$^{12} C_{3}$

c

$12^{3}$

d

$3^{12}$

answer is A.

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Detailed Solution

Each stall can be occupied by a cow, a horse or a calf i.e. in 3 ways

$∴$ The required number $= 3^{12}$

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In a steamer there are stalls for 12 animals and there are cows, horses and calves (not less than 12 of each) ready to be shipped; the total number of ways in which the shipload can be made, is