Question

How many different arrangements can be made using all the letters in the word topic

Answer 1

Number of difference arrangements = 5! = 5 x 4 x 3 x 2 x 1 = 120

Answer: There are 120 different arrangements.

Answer 2

The formula to find the permutations is nPr =
`(n!)/((n-r)!)`

Here n represents the total number of objects

r represents the number of objects taken at a time

The word TOPIC has 5 letters.

All the five letters are different.

And we need to take all 5 letters.

Hence n = 5 & r = 5

Number of arrangements = 5P5 =
`(5!)/((5-5)!) =(5!)/(0!) = 5!=120`

120 different arrangements can be made using all the letters in the word TOPIC