How many distinguishable 5-letter combinations are possible of the letters of the word TIGHT?
A. 40
B. 60
C. 72
D. 120

A. 40 combinations

we have 8 x 5 = 40

Step-by-step explanation:

Would be 60 as 3 letter words with 5 letters.

The logic is that all letters are being used to their maximum and with numbers 3 within 5 or 5 within 5 the maximum that cna be used is 12 rotation for 3 per letter or 8 rotaion for 5. Then we have 5 rotations = 60 for 3 and 40 for 5.   Another logic is the many combinations can you make from the numbers 1 2 3 4 5 not multiplying?

The rearrangement of 5 figure numbers will be 5x4x3x2x1 which is 120 combinations, when you don't repeat a number.

We see that 4+3 +2+1 = 10 and shows less than 5 number  combinations at 120, and then we have 5

5:10 ratio = 5/15 = 1/3

This = 1/3 of 120 =40

Then we find answer is 40 as compact 5 letter words from the word tight.

step-by-step :