Question

how many ways can the lettets in the word PAYMENT be arranged if the letters are taken out 5 at a time

Answer 1

PAYMENT be arranged letters are taken 5 times then total 35 letters

Explanation:

Answer 2

2520

Explanation:

Permutation refers to different ways of arranging r objects out of given n objects in a particular order .

Permutation is denoted by
`n_(P)_(r)=(n!)/(\left ( n-r \right )!)`

where n refers to total number of objects and r refers to the objects to be arranged .

Given word : PAYMENT

Total number of letters (n) = 7

No. of letters to be arranged (r) = 5

Here, we need to arrange 5 letters out of given 7 letters in a particular order .

Therefore,

no. of ways =
`7_(P)_(5)=(7!)/(\left ( 7-5 \right )!)=(7!)/(2!)=2520`