Answer:
There are 5040 arrangements of the letters in WHISTLER that end with a W.
Explanation:
To find the number of arrangements of the letters in the word WHISTLER that end with a W, we can first fix the W in the last position. This leaves us with the remaining 7 letters (H, I, S, T, L, E, and R) to arrange in the first 7 positions.
We can use the permutation formula to find the number of ways to arrange these 7 letters:
n! / (n-r)!
where n is the number of distinct objects and r is the number of objects being arranged. In this case, n = 7 and r = 7, since we are arranging all 7 remaining letters.
So the number of ways to arrange the 7 letters is:
7! / (7-7)! = 7! / 0! = 7! = 5040
Therefore, there are 5040 arrangements of the letters in WHISTLER that end with a W.