sorry, I know I already asked this, but I called some of my friends and it seems I copied down the homework wrong.
The question is the number of arrangements of five letters from the word 'magnetic' that end in a vowel is:
A 360
B 420
C 840
D 2520
E 7560
There are three ways to fill the last place.
The the other four spaces can be filled in 7*6*5*4 ways
so the number of ways = 3*7*6*5*4 = 2520
oh, sorry again, I thought I'd typed it, but my keyboard keeps running low on battery...
A 360
B 420
C 840
D 2520
E 7560
oh, it's not my keyboard, I guess it's not letting me post the answers in column, well, anyways, they are
A) 360 B) 420 C) 840 D) 2520 E) 7560
again, I'm so sorry, but I really could use some help, please.
oh, thank you so much!
To solve this problem, we need to break it down into smaller steps:
Step 1: Count the number of vowels in the word 'magnetic'.
The word 'magnetic' has three vowels: a, e, and i.
Step 2: Count the number of consonants in the word 'magnetic'.
The word 'magnetic' has six consonants: m, g, n, t, c, and.
Step 3: Determine the number of ways to arrange the vowels.
Since there are three vowels, we have 3 options for the last position in the arrangement.
Step 4: Determine the number of ways to arrange the remaining consonants.
Since there are six consonants and we have only used one position for a vowel, we have 6 options for the first position, 5 options for the second position, 4 options for the third position, and 3 options for the fourth position.
Step 5: Multiply the number of ways to arrange the vowels by the number of ways to arrange the consonants.
To get the total number of ways, we multiply the number of options for arranging the vowels (3) by the number of options for arranging the consonants (6 * 5 * 4 * 3).
Step 6: Calculate the final answer.
Now, multiply the number of ways to arrange the vowels (3) by the number of ways to arrange the consonants (6 * 5 * 4 * 3).
3 * (6 * 5 * 4 * 3) = 3 * 360 = 1080
So, the number of arrangements of five letters from the word 'magnetic' that end in a vowel is 1080.
None of the given options (A, B, C, D, E) is a correct answer.