Question

g. How many different 6-letter arrangements can be formed using the letters in the word ABSENT, if each letter is used only once? a. 6 b. 36 c. 720 d. 46,656

Answer 1

Answer:

720

Step-by-step explanation:

Given : The word  ABSENT

To Find: How many different 6-letter arrangements can be formed using the letters in the word ABSENT, if each letter is used only once?

Solution:

Number of letters in ABSENT = 6

So, No. of arrangements can be formed using the letters in the word ABSENT, if each letter is used only once = 6!

                                                   = $6 \times 5 \times 4\times 3 \times 2 \times 1$

                                                   = $720$

So, Option C is true

Hence there are 720 different 6-letter arrangements can be formed using the letters in the word ABSENT.