# Five letters

How many ways can five letters be arranged?

Result

n =  120

#### Solution:

$n=5!=120$

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Math Student
Since there are no repeating letters, and there are 5 total letters, there are 5!=120 ways to arrange them. In other words, there are 5 slots to place the first letter in, then 4 slots for the second letter, 3 for the third, 2 for the fourth, and then the last letter goes in the 1 slot that is left. 5*4*3*2*1=5!=120

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