Q:

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

Accepted Solution

A:
Answer:720Step-by-step explanation:Given : The word  ABSENTTo 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 = 6So, No. of arrangements can be formed using the letters in the word ABSENT, if each letter is used only once = 6!                                                    = [tex]6 \times 5 \times 4\times 3 \times 2 \times 1[/tex]                                                    = [tex]720[/tex]So, Option C is true Hence there are 720 different 6-letter arrangements can be formed using the letters in the word ABSENT.