After a late night of math studying, you and your friends decide to go to your favorite tax- free fast food Mexican restaurant, Burrito Chime. You decide to order off of the dollar menu, which has 6 items. Your group has $18 to spend (and will spend all of it). How many different orders are possible? Explain. (The order in which the order is placed does not matter - just which and how many of each item that is ordered.) There is 23 choose 5 different orders possible | C(23,5) How many different orders are possible if you want to get at least one of each item? Explain. There is 17 choose 5 different orders possible / (17,5) How many different orders are possible if you don't get more than 4 of any one item? Explain. STUCK HERE. (YOU MUST USE THE PRINCIPLE OF INCLUSION/EXCLUSION) The answer is not 24! 24! 6!18! 15!9!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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After a late night of math studying, you and
your friends decide to go to your favorite tax-
free fast food Mexican restaurant, Burrito
Chime. You decide to order off of the dollar
menu, which has 6 items. Your group has $18
to spend (and will spend all of it).
How many different orders are possible?
Explain. (The order in which the order is
placed does not matter - just which and how
many of each item that is ordered.)
There is 23 choose 5 different orders possible
/ С(23,5)
How many different orders are possible if you
want to get at least one of each item? Explain.
There is 17 choose 5 different orders possible
/ (17,5)
How many different orders are possible if you
don't get more than 4 of any one item?
Explain.
STUCK HERE. (YOU MUST USE THE
PRINCIPLE OF INCLUSION/EXCLUSION)
The answer is not
24!
24!
6!18!
15!9!
or
Transcribed Image Text:After a late night of math studying, you and your friends decide to go to your favorite tax- free fast food Mexican restaurant, Burrito Chime. You decide to order off of the dollar menu, which has 6 items. Your group has $18 to spend (and will spend all of it). How many different orders are possible? Explain. (The order in which the order is placed does not matter - just which and how many of each item that is ordered.) There is 23 choose 5 different orders possible / С(23,5) How many different orders are possible if you want to get at least one of each item? Explain. There is 17 choose 5 different orders possible / (17,5) How many different orders are possible if you don't get more than 4 of any one item? Explain. STUCK HERE. (YOU MUST USE THE PRINCIPLE OF INCLUSION/EXCLUSION) The answer is not 24! 24! 6!18! 15!9! or
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