Question

In how many different ways can the letters in the word PAYMENT be arranged if the letters are taken 6 at a time?

A. 5040
B. 42
C. 2520
D. 7

Answer 1

The number of different ways the letters in the word PAYMENT can be arranged if taken 6 at a time is 7.

Step-by-step explanation:

To find the number of different ways the letters in the word PAYMENT can be arranged if taken 6 at a time, we need to use the concept of combinations. The formula for combinations is nCr = n! / [(n-r)! * r!], where n is the total number of items and r is the number of items taken at a time.

In this case, n = 7 (number of letters in the word PAYMENT) and r = 6 (letters taken at a time).

Plugging in the values, we get:

nCr = 7! / [(7-6)! * 6!] = 7! / [1! * 6!] = 7! / 6! = 7

Therefore, the answer is 7, which corresponds to option D.