How many letter permutations are there in FAMILY
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."