In how many ways can the letters in the word PAYMENT be arranged if the letters are taken 6 at a time?
A) 7
B) 2520
C) 42
D) 5040

Name: In how many ways can the letters in the word PAYMENT be arranged if the letters are taken 6 at a time? A) 7 B) 2520 C) 42 D) 5040
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Question

Quizplus · Accepted Answer

The word PAYMENT has 7 distinct letters. The number of ways to arrange 6 out of 7 letters is given by the permutation formula P(n, r) = n! / (n-r)!. Here, it is P(7, 6) = 7! / (7-6)! = 7! / 1! = 5040.

In How Many Ways Can the Letters in the Word