Question: An event planner is deciding what food to include in a buffet. The caterer has offered 9 cold dishes and 10 hot dishes. Of

An event planner is deciding what food to include in a buffet.

An event planner is deciding what food to include in a buffet. The caterer has offered 9 cold dishes and 10 hot dishes. Of the 19 dishes offered, the event planner will choose 9. (If necessary, consult a list of formulas.) (a) In how many ways can the event planner choose 9 dishes if the number of hot dishes must be greater than or equal to 7? (b) In how many ways can the event planner choose 9 dishes if the number of hot dishes must be less than 7?

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