The letters of the word “LIMCA” can be arranged in 120 different ways.

Why 120 ways?

“LIMCA” has 5 letters and all of them are different: L, I, M, C, A.

The number of distinct arrangements (permutations) of 5 distinct letters is given by 5!5!5! (read as “5 factorial”).
So:

5!=5×4×3×2×1=1205!=5\times 4\times 3\times 2\times 1=1205!=5×4×3×2×1=120

So, the answer to “in how many different ways can the letters of the word limca be arranged” is 120.

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