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4. A bakery sells 12 varieties of cupcakes. Assume that it has an unlimited supply of each variety. How many different ways are there to choose 8 cupcakes from these 12 varieties if... a. ..there are no restrictions? b. .all the cupcakes chosen are of the same variety? c. ...all the cupcakes chosen are of different varieties? d. .at least 3 chocolate cupcakes and 2 vanilla cupcakes are chosen? e. .at most 4 blueberry cupcakes are chosen? ... Hint: Use counting by complement.

4. A bakery sells 12 varieties of cupcakes. Assume that it has an unlimited supply of each variety. How many different ways are there to choose 8 cupcakes from these 12 varieties if... a. ..there are no restrictions? b. .all the cupcakes chosen are of the same variety? c. ...all the cupcakes chosen are of different varieties? d. .at least 3 chocolate cupcakes and 2 vanilla cupcakes are chosen? e. .at most 4 blueberry cupcakes are chosen? ... Hint: Use counting by complement.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem 4: Variety of Cupcake Selection** A bakery sells 12 varieties of cupcakes. Assume that there is an unlimited supply of each variety. How many different ways are there to choose 8 cupcakes from these 12 varieties if: a. …there are no restrictions? b. …all the cupcakes chosen are of the same variety? c. …all the cupcakes chosen are of different varieties? d. …at least 3 chocolate cupcakes and 2 vanilla cupcakes are chosen? e. …at most 4 blueberry cupcakes are chosen? *Hint: Use counting by complement.*
Transcribed Image Text:**Problem 4: Variety of Cupcake Selection** A bakery sells 12 varieties of cupcakes. Assume that there is an unlimited supply of each variety. How many different ways are there to choose 8 cupcakes from these 12 varieties if: a. …there are no restrictions? b. …all the cupcakes chosen are of the same variety? c. …all the cupcakes chosen are of different varieties? d. …at least 3 chocolate cupcakes and 2 vanilla cupcakes are chosen? e. …at most 4 blueberry cupcakes are chosen? *Hint: Use counting by complement.*
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