SOLUTION: Hi I really need help with these questions please. 1) How many different ways can 8 people be seated at a round table if there is a special arm chair? 2) There are 14 identic

Question 887262: Hi I really need help with these questions please.
1) How many different ways can 8 people be seated at a round table if there is a special arm chair?
2) There are 14 identical blocks in a childs toy box. Five of them are blue, two of them are red, five of them are green, one is orange and one is purple.
a) If a child takes them out of the box and puts them in one giant stack, how many ways can she do this?
- I tried 14C5 * 13 C2 * 12C5* 11C1 * 10C1 but that didn't work
b) If a child picks at least one of the blocks out of the box, how many different selections can she make?
3) When 3- digit area codes were introduced in 1947, the first digit had to be a number from 2 to 9, and the middle digit had to be either 0 or 1. The last digit has no restrictions. How many area codes were possible for 1947?
4) A code consists of two letters followed by three numbers. No repetition is allowed. How many different codes are available?
- I tried 4C2= 6 but I'm not sure of that is correct.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
2)
a.
n!/(r[1]!*r[2]!*...*r[k]!)
14!/(5!*2!*5!)
=3027024 ways
.
b.
5
.
Ed
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