The word "FAMILY" has six letters.
To find the number of distinguishable permutations of the letters in the word "FAMILY," we need to use the formula for permutations of n objects taken k at a time, which is given by:
P(n, k) = n! / (n - k)!
We want to find the number of distinguishable permutations of all six letters, so we need to calculate P(6, 6):
P(6, 6) = 6! / (6 - 6)! = 6! / 0! = 720
Therefore, there are 720 distinguishable permutations of the letters in the word "FAMILY."
How many letter permutations are there in FAMILY
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