From a group of 11 people, we want to form a committee consisting of president,

Question

From a group of 11 people, we want to form a committee consisting of president, treasurer, a secretary, and an assistant. If 3 of the people do not want to serve as a president or as a treasurer, how many different committees can be formed?

A quarter collection contains fifteen 2010 quarters, eight 2011 quarters, twenty 2012 quarters, and twenty-five 2013 quarters. If you randomly pick some quarters without looking at the dates, how many must you pick to be sure of getting at least five quarters of the same year?

Explanation / Answer

Number of ways to select president = 8

Number of ways to select treasurer = 7

Number of ways to select secretary = 9

Number of ways to select assistant = 8

Total ways = 8*7*9*8 = 4032

PS: We are directed to solve only first if multiple questions are posted

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