## Permutations Resources

In how many ways the word METROPOLITAN can be arranged if i) starts and ends with a vowel. ii) all the vowels come next to each other. iii) no two vowels are next to each other.

In how many ways the word METROPOLITAN can be arranged if: i) there are no restrictions. ii) starts and ends with a vowel. iii) all the vowels come next to each other. iv) no two vowels...

I have a follow up. How would I calculate the e and o combinations that have an equal amount of e’s and o’s in any combination for example with 2 to the forth power there are 16 combinations but only...

I have a follow up. How would I calculate the e and o combinations that have an equal amount of e’s and o’s in any combination for example with 2 to the forth power there are 16 combinations but only...

How many codes with five letters can be made from the letters of D R A G O N F L Y if the first and last letters have to be vowels and each letter can only be used at most once?     *210 *840 *240 *420 *None...

I think the answer is 308 but I'm not sure.

A table is set with 13 large numbered (and thus distinguishable) bins. We have 5 red balls (indistinguishable ones) and 8 blue balls (also indistinguishable). We are interested in the...