Suppose 7 men and 5 women work in your office. Your lazy boss puts the 12 names in a hat, picks three different names, and gives $5,000 raises to thes

Suppose 7 men and 5 women work in your office. Your lazy boss puts the 12 names in a hat, picks three different names, and gives $5,000 raises to these employees. Note: Because the raises are all for the same amount then she picks all the names at once. There is no “first raise,” “second raise,” etc. How many outcomes give a raise to Alice or Bob (or both)? (one answer, not three)

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