How many different arrangements are possible using 6 letters from the word PAYMENT?
A) 5040
B) 2520
C) 7
D) 42

Question

Quizplus · Accepted Answer

The word PAYMENT has 7 distinct letters. The number of different arrangements of 6 letters from these 7 is calculated using the permutation formula, which is P(n, r) = n! / (n-r)!, where n is the total number of items to choose from, and r is the number of items to choose. Here, n=7 and r=6, so P(7, 6) = 7! / (7-6)! = 7! / 1! = 7! = 5040.

How Many Different Arrangements Are Possible Using 6 Letters from the Word