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How many ways are there to give out 4 different candies to 4 students if each student has to get a candy?
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The number of permutations of the 4 different candies taken 4 at a time gives the answer: \[4P4=4!=4\times3\times2\times1\]
There are 4 choices of candy to give to the first student. Having given a candy to the first student, there are 3 choices of candy to give to the second student. Therefore there are 4 * 3 ways to give candies to the first 2 students. Continuing this reasoning gives the total number of ways as: \[4\times3\times2\times1=you\ can\ calculate\]
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