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Group Raffle Checks
Problem: For the group raffle every participant gets a random ticket. A winning number is chosen, also at random. The
problem is to determine if any "group" of tickets add up to the winning number.
A "group" of tickets could be one ticket that is equal to the winning number or a
group of tickets that add up to the winning number. This group could have two
tickets in, or all of the tickets in. They just need to add up to the winning
number.
Example Instances:
The tickets [411, 220, 710, 41] are drawn and a winning number of 1000 is drawn.
This instance does not have a winning group.
• The tickets [110, 923, 475, 301, 102] are drawn and the winning number of 1500 is drawn.
This instance does have a winning group, 923, 475, and 101.
How Many Checks: Fill in the table below with how many checks are necessary with different numbers of tickets. It may
help to draw pictures and see if you start noticing any patterns emerge.
Tickets
2
3
4
5
Challenge: 8
Total Checks
How many possible groups are there?
3
I
I

Sagot :

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