Answer: 120
Step-by-step 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 :_
[tex]^5P_5=\dfrac{5!}{(5-5)!}\\\\=5\times4\times3\times2\times1=120[/tex]
Hence, the number of ways to arrange the letters such that A,B,C comes in alphabetical order = 120
