g. How many different 6-letter arrangements can be formed using the letters in the word ABSENT, if each letter is used only once
1 answer:
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!
=
=
So, Option C is true
Hence there are 720 different 6-letter arrangements can be formed using the letters in the word ABSENT.
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For this case we must find an expression equivalent to:
Then, we take common factor 8:
By definition of power properties we have to:
So:
Since both terms are perfect cubes, we factor using the cube difference formula:
Where:
So:
Answer:
3(1)-1= 2
3(2)-1= 5
3(3)-1= 8
3(4)-1= 11
3(5)-1= 14
3(2)-1= 5
3(3)-1= 8
3(4)-1= 11
3(5)-1= 14