Thread: Permutation Help!

Consider the Permutations of the word SUCCESSFUL ?

a) How many permutations total?
b)How many have the 3 vowels adjacent (such as SUUESSFCLC)?
c)How many permuations have none of the 3 vowels adjacent?
d)How many permutations start with an S and end with an L?
e)How many permutations have a consonant as the first letter?

Originally Posted by zackgilbey

Consider the Permutations of the word SUCCESSFUL ?
a) How many permutations total?

Now you do some work. Show us some work.

im plugging away at this, and i understand the 10 factorial as well as the (2!) (2!), but not positive on how the 3! was determined. thanks

Originally Posted by zackgilbey

im plugging away at this, and i understand the 10 factorial as well as the (2!) (2!), but not positive on how the 3! was determined. thanks

Surely this topic is included in your text material: arrangements with repetitions.
The number of ways to rearrange the word “MISSISSIPPI” is .
That is due to the fact there are 11 letters in all, 4 S’s, 4 I’s, and 2 P’s.
Consider the word “UNUSUAL”. There are there are seven letters in all.
If we add subscripts , now the number of ways to rearrange the word is .
But removing the subscripts makes us divide to account for the fact that is the number of ways to rearrange .

thanks for the help ive been able to plug right through these except the last one e) im having trouble with how to approach this one as I havent seen this type of question before... any help regarding this would be excellent thanks