four traveler's arrive in a town where there are six hotel's.in how many ways can they take their quaters each at a different hotels
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The first traveller has a choice of four hotels, and when he has made his choice in an one way, the second traveller has a choice of three; therefore the first two can make their choice in 4×3 ways; and with any one such choice the third traveller can select his hotel in 2 ways; hence the required number of ways is 4×3×2 or 24.
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Step-by-step explanation
A * B * C * D = No : of travelers (4)
6 * 5 * 4 * 3 = No: of choice of hotels
=360 ways
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