# 1. How many 3 people committees consisting of 1 boys and 2 girls can be chosen from a group of four boys and four girls?

1. How many 3 people committees consisting of 1 boys and 2 girls can be chosen from a group of four boys and four girls? 2. In how many ways can 4 English, 1 history, and 3 math books be set on a shelf, if they are grouped by subject? 3. You have a collection of 42 rubber ducks. Of these, 24 have yellow bodies, 15 have orange bills, and 6 have both. How many do not have either? Draw a Venn diagram. 4. Mr. Lothbrok has \$10,000 to invest in two types of mutual funds, Coleman High-yield Fund, and Coleman Equity Fund. The High-yield fund gives an annual yield of 6%, while the Equity fund earns 10%. Mr. Lothbrok would like to invest at least \$5000 in the High-yield fund and at least \$2000 in the Equity fund. How much money should he invest in each to maximize his annual yield, and what is the maximum yield? 5. A DC license plate consists of 2 letters followed by 5 digits. How many such plates are possible? 6 At De Anza College, 20% of the students take Finite Math, 30% take History, and 5% take both Finite Math and History. If a student is chosen at random, find the following conditional probabilities. a. Student is taking Finite Math given that said student is taking History. B ]Student is taking History given that said student is taking Finite Math.