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1. How many binary sequences of length 8 are there which contain 5 0's and 3 1's? 2. If there must be at least one

1. How many binary sequences of length 8 are there which contain 5 0's and 3 1's?

2. If there must be at least one person in each table, in how many ways can 5 people be seated around three indistinguishable tables?

3. How many 6-letter words can be formed using A, B, C, D, E, F, G, H, I if the letters in each word must be distinct and A, B, and C can only occur as the first or last letter?

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