An event planner is deciding what food to include in a buffet. The caterer has offered 10 cold dishes and 3 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 2?
(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 2?