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.
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!
1 answer