[Math] How many way can 3 distinct letter and 2 distinct digit be arranged if the digit must be together

Question

Hi mind helping me out for this question ?

How many way can 3 distinct letter and 2 distinct digit be arranged if the digit must be together.

Thanks.

Answer 1

Hi i manage to figure it out .

Let A be digit and B be letter .

Since there is 2 distinct digit and 3 distinct Letter the arrangement os

A A B B B B B B A A B A A B B B B A A B

therefor is 3!*2! * 4 = 48.

And 48 was the book answer. so is my working right ?

Thanks For ur help :)