The number of different 3-letter arrangements of letters is 15600 arrangements
The question has to do with permutations
Permutations are the number of ways of arranging n objects in x ways. It is given by N = ⁿPₓ = n(n - 1)(n - 2)...(n - x + 1)
Since we have three initials for the luggage, and we have 26 letters of the alphabet. We have 26 letters to be permutted or arranged in 3 ways.
So, the number of arrangements is ²⁶P₃ = 26 × 25 × 24
= 15600 arrangements
So, the number of different 3-letter arrangements of letters is 15600 arrangements
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