Solve the problem.
-In how many ways can the letters in the word PAYMENT be arranged if the letters are taken 4 at a Time?
A) 840
B) 28
C) 210
D) 420

Question

Quizplus · Accepted Answer

The word PAYMENT has 7 distinct letters. The number of ways to arrange 4 letters out of 7 is calculated using the formula for permutations: P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items to be arranged. Here, n=7 and r=4, so P(7, 4) = 7! / (7-4)! = 7! / 3! = (7×6×5×4) / (3×2×1) = 840.

Solve the Problem. -In How Many Ways Can the Letters in the Word