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30 April, 00:37

Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Each box receives exactly one card.

In how many ways can the cards be placed in the boxes?

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  1. 30 April, 00:59
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    24 ways.

    Step-by-step explanation:

    You can put any of the first cards in box A, you can do this in 4 different ways. For the second card, you'll have 3 options to put it in box B. For the third card, you'll have 2 options to put it in box C. For the last card, you'll only have 1 option (the remaining card will have to go to box D).

    Therefore you have 4 x 3 x 2 x 1 = 24 ways of place the cards in the boxes.
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