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 7 items. Your group has $16 to spend (and will spend all of it). (a) 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.) (b) How many different orders are possible if you want to get at least one of each item? Explain. (c) How many different orders are possible if you don’t get more than 4 of any one item? Explain

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 7 items. Your
group has $16 to spend (and will spend all of it).
(a) 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.)
(b) How many different orders are possible if you want to get at
least one of each item? Explain.
(c) How many different orders are possible if you don’t get more
than 4 of any one item? Explain. 

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