Short Answer 
The word “TIGER” has unique letters allowing for combinations without repetition. For a 3-letter arrangement, there are 5 choices for the first letter, 4 for the second, and 3 for the third, resulting in a total of 60 distinct arrangements.
Step 1: Understand the Concept of Unique Letters
In the word TIGER, each letter is unique, meaning no letter occurs more than once. This uniqueness allows us to choose letters for forming new words without worrying about repetitions. Hence, the letters available for selection are:
- T
- I
- G
- E
- R
Step 2: Calculate Options for Each Letter Position
When forming a 3-letter word, we can think of it as a series of choices for each letter we want to place. The number of choices decreases as we fill each position:
- For the 1st letter, we have 5 choices.
- For the 2nd letter, since one letter is already used, we have 4 choices.
- For the 3rd letter, with two letters already used, we are left with 3 choices.
Step 3: Compute the Total Arrangements
To find the total number of distinct arrangements, multiply the number of choices for each letter position together. By calculating:
- 1st letter: 5 choices
- 2nd letter: 4 choices
- 3rd letter: 3 choices