Question

the number of arrangement that can be made out of the letter of the word business is? ​

Answer 1

Answer:

2494800 ways of arranging it. The word ARRANGEMENT has 11 letters, not all of them distinct.

Explanation:

How many arrangements can be made from the letters of the word professional?

∴ The answer is 60 x 2520 x 8 = 1209600.

Answer 2

To find:

The number of arrangements that can be made out of the letters of the word 'Business'

Solution:

We need to find the factorial of numbers to find the number of rearrangements possible

The number of letters in the word- 8

So, the number of arrangements possible is 8!

However, the letter 's' has been repeated three times and thereby needs to be divided.

So, the net number of arrangements= 8!/3! [ 3 for the 3A's that has been repeated]

To solve the factorial-

8!/3!

8! = 8*7*6*5*4*3*2*1

3! = 3*2*1

So, on division we get: 8*7*6*5*4= 6720

The number of arrangements that can be made out of the letters of the word 'Business' is 6720.