How many ways can a potential four-letter word, whether or not it has a meaning, be created out of 10 available different letters?
A) 4 * 3 * 2 * 1
B) 10 * 9 * 8 * 7/(4 * 3 * 2)
C) 10 * 9 * 8 * 7 * 6 * 5/(4 * 3 * 2)
D) 10 * 9 * 8 * 7

Question

Quizplus · Accepted Answer

The number of ways to create a four-letter word from 10 different letters is calculated using permutations since the order of the letters matters. The formula for permutations of n items taken r at a time is nPr = n! / (n-r)!, which for 10 letters taken 4 at a time gives 10 * 9 * 8 * 7.

How Many Ways Can a Potential Four-Letter Word, Whether or Not