Question

In how many different ways can the letters of the word 'trust' be arranged?

Answer 1

since trust has two T's

5*4*3*2*1/(2)
=60

Answer 2

This question requires knowledge of permutations and combinations.

I will describe u the method to solve similar to this.

Note down , Number of times each letter occurs in the word.

T   -  2
R  -   1
U  -   1
S  -   1
NUMBER OF LETTERS = 5

Number of ways n letters can be arranged if there is no repetition = n!

But if some letter is repeated , it means that it will be same though it is interchanged with the similar letter.

So , Number of ways =  (n!)/ (m!)

So , Number of ways = (5!)/(2!) = 120/ 2 = 60.

Hope this helps.If you have any doubts , put it in the comments :)