5.4.52 A grocery store makes up fruit baskets using as many as 4 apples, 3
pears, and four oranges. A basket must contain at least one piece of fruit.
How many different fruit selections are possible?

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5.6.8 In the world series the American league team ("A") and the National
league team ("N") play until one team wins 4 games. If the sequence of
winners is designated by letters (NAAAA means the National league won the
first game and lost the next 4), how many different sequences are possible?

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Supplementary Exercises

11: Out of a group of 115 applicants for jobs at the World Bank, 70 speak
French, 65 speak Spanish, 65 speak German, 43 speak French and Spanish,
35 speak Spanish and German, and 35 speak all 3 languages. How many of the 
people speak none of the languages?


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23: A survey at a small New England college showed that 400 students skied,
300 played ice hockey, and 150 did both. How many students participated in
at least one of these sports?

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26: How many 7 digit numbers are even and have a 3 in the hundreds place?


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41: In how many ways can 5 people be assigned to seats in a 12 seat room?