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

720

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 * 5 * 4* 3 * 2 * 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.