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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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?
Transcribed Image Text: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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