Question

Neha is playing a word game where she's trying to make 3-letter words using letters in the word TIGER. Shecannot use the same letter twice.How many unique ways are there to arrange 3 letters from the word TIGER?

Answer 1

Notice that, in the word TIGER, none of the letters repeats itself.

We have 5 options for the first letter in a 3-letter word, 4 options for the 2nd letter, and 3 options for the 3rd letter.

This gives us a total of:

$5\cdot4\cdot3=60$

60 different arrangements of 3 letters. The answer is 60