After a late night of studying, you and your friends decide to go to your favorite tax-free fast food Mexican restaurant, Burrito Chime. You decide to order off the dollar menu, which has 7 items. Your group has $15 to spend (and you will spend all of it). a. How many different orders are possible? (The order in which the order is placed does not matter just which and how many of each item that is ordered.) 54264 orders. b. How many orders are possible if you want to get at least one of each item? 3003 orders. c. How many different orders are possible if you don't get more than 4 of any one item? orders.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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After a late night of studying, you and your friends decide to go to your favorite tax-free fast food Mexican
restaurant, Burrito Chime. You decide to order off the dollar menu, which has 7 items. Your group has $15
to spend (and you will spend all of it).
a. How many different orders are possible? (The order in which the order is placed does not matter - just
which and how many of each item that is ordered.) 54264
orders.
b. How many orders are possible if you want to get at least one of each item? 3003
orders.
c. How many different orders are possible if you don't get more than 4 of any one item?
orders.
Transcribed Image Text:After a late night of studying, you and your friends decide to go to your favorite tax-free fast food Mexican restaurant, Burrito Chime. You decide to order off the dollar menu, which has 7 items. Your group has $15 to spend (and you will spend all of it). a. How many different orders are possible? (The order in which the order is placed does not matter - just which and how many of each item that is ordered.) 54264 orders. b. How many orders are possible if you want to get at least one of each item? 3003 orders. c. How many different orders are possible if you don't get more than 4 of any one item? orders.
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