5! = 120
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Five people are to be arranged in a row to have their picture taken. In how many ways can this be done?
The number of different ways the letters of a word can be arranged, when all the letters are different, is the same as the number of permutations of those letters. In this case, the answer is 5!, or 120.
As specified by the question, in infinitely many ways. Each block could be in four different places in the whole universe, with different orientations.
5 letters in first position there can be any one of the five, in the second position there are four possibilities left, in third position one of three remaining letters etc. 5 * 4 * 3 * 2 *1 = 120.
In how many distinct ways can the letters of the word MEDDLES be arranged?