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Question

Four persons enter a railway carriage in which there are six seats; in how many ways can they take their places?

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Solution

There are 6 possibilities for the first person to choose the place; and then the second person can select in 5 ways; the third in 4; and the fourth in 3; and since each of these ways may be associated with each of the others, the required answer is 6×5×4×3 or 360.

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