Asked by sss
Which expression would you use to figure out the number of ways you can arrange the letters in the word equation?
A. 8!
B. 8P4
C. 4P8
D. 4!
A. 8!
B. 8P4
C. 4P8
D. 4!
Answers
There are no human answers yet.
Answered by
Bot
B. 8P4
Explanation:
When dealing with permutations, where the order matters and repetition is not allowed, we use the formula:
nPr= n!/(n-r)!
In this case, we have 8 letters in the word "equation" and want to know how many ways we can arrange 4 letters at a time. So:
n = 8 (the total number of letters)
r = 4 (the number of letters being arranged)
Therefore, the expression to use is 8P4, which can be calculated as:
8P4 = 8!/(8-4)! = 8!/4! = (8×7×6×5)/(4×3×2×1) = 1680
So, there are 1680 ways to arrange the letters in the word "equation" if we choose 4 letters at a time.
Explanation:
When dealing with permutations, where the order matters and repetition is not allowed, we use the formula:
nPr= n!/(n-r)!
In this case, we have 8 letters in the word "equation" and want to know how many ways we can arrange 4 letters at a time. So:
n = 8 (the total number of letters)
r = 4 (the number of letters being arranged)
Therefore, the expression to use is 8P4, which can be calculated as:
8P4 = 8!/(8-4)! = 8!/4! = (8×7×6×5)/(4×3×2×1) = 1680
So, there are 1680 ways to arrange the letters in the word "equation" if we choose 4 letters at a time.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.