Question

In how many ways letter ABSCOND can be arranged such that A,B,C comes in alphabtecial order

Answer 1

Answer: 120

Explanation:

Given letters : ABSCOND

Total letters = 7

To find the number of ways to arrange the letters such that A,B,C comes in alphabetical order, we first consider ABC as one component of the word where order remains fixed .

Then the total components need to be arrange = (ABC, S, O , N, D) =5

Now, the number of ways to arrange the letters :_

`^5P_5=(5!)/((5-5)!)\\\\=5*4*3*2*1=120`

Hence, the number of ways to arrange the letters such that A,B,C comes in alphabetical order = 120