Question: Ten project managers are available for assignment to six upcoming projects at Crosslands Development. Three of the project managers are women and seven are men.

Ten project managers are available for assignment to six upcoming projects at Crosslands Development. Three of the project managers are women and seven are men. From the list of ten project managers, how many subgroups of size six could be formed containing exactly two women and four men?

a. 105

b. 88

c. 24

d. 156

e. 212

Dobson and Company's chances for survival depend on three factors: customer reaction to its new product, the state of the economy, and the entry of new competitors into the marketplace. If Dobson foresees 5 possible customer reactions, 6 possible economic conditions, and 3 different possibilities for competitors entering the marketplace, how many different sets of possibilities are there?

a. 33

b. 14

c. 90

d. 45

e. 36

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