Question 783558: A product is formed by arranging 5 different letters from the collection (B, H, Q, T, W, Z) one after another.
a) How many different such product codes are there? My answer- 720
b) How many of them contain the letter W?
If you could please just help me get started with solving part B I would really appreciate it!! Thanks!
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
You did part A correctly: the permutations of 6 things taken 5 at a time. For part B, consider the number of codes that DO NOT contain the letter W. Hint: Permutations of 5 things taken 5 at a time. All of these are counted in the 720 you got for part A, so if you eliminate the ones that DON'T have a W, you are left with the number that do.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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