The document discusses several probability and combination problems: 1) How many ways can 8 books be arranged on a shelf if 3 particular books must be together? 2) How many games must be played if each of 10 football teams plays every other team once? 3) How many ways can 4 students be seated in consecutive chairs out of 9 total chairs? 4) In how many ways can 7 people continue their walk so that 4 go one way and 3 the other? 5) How many combinations are there in a standard 52 card deck? The document provides examples of common permutation and combination problems.

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2. In how many ways can 8 books be arranged on a shelf,
if 3 particular books must be together?

3. There are 10 football teams in a certain conference. How
many games must be played if each team is to play every
other team just once?

4. There are 10 football teams in a certain conference. How
many games must be played if each team is to play every
other team just once?

5. There are 9 chairs in a row. In how many ways can 4
students be seated in consecutive chairs?
(Hint: First find the number of ways of choosing 4
consecutive chairs.)