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**Permutatuon question help! PLEASE**

**1. How many ways can the word PAIRS be arranged if the first letter cannot be a vowel.**

**2. I believe you would just use counting, maybe (n!)/(n-r)!**

**3. 3x4x3x2x2=72. I put 3 as the first number because there are 3 different combinations not using a vowel. I believe this is right, but i don't understand why. Can somebody explain this to me? I came up with the rest of the numbers, knowing that 72 is the answer. But I'm not sure why i would use these combinations of numbers. Thanks**

Second problem:

1. Using the letters from the word

**equation**, how many five letter patterns can be formed in which q is followed immediately by u?

2. I believe you would just use counting, maybe (n!)/(n-r)!

3. I'm not even sure where to start with this one. I get thrown off by the 5 letter pattern even though there are 8 numbers. i tried many things and can't seem to come up with the right answer which is 580.

Thanks so much guys, I have a large test tomorrow and really appreciate the help.