An event planner is deciding what food to include in a buffet. The caterer has offered 8 cold dishes and 5 hot dishes. Of the 13 dishes offered, the event planner will choose 6. (a) In how many ways can the event planner choose 6 dishes if the number of hot dishes must be less than 3? (b) In how many ways can the event planner choose 6 dishes if the number of hot dishes must be greater than or equal to 3?

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