In a sideshow game. A player gets 3 balls to place into a Clown's mouth. Each ball is swallowed by the Clown and is then deposited into slots that can hold only 1 ball. Slots are numbered 1 to 9 and prizes are allocated to a player depending on the slot value of the three balls. If for example the first ball landed in slot 8, the second in slot 2 and the third in slot 1, the resulting prize number would be 821 as shown in Figure 3. 3rd 2nd 1st Ok OL 1 2 3 4 4 5 6 7 8 9 Figure 3: A prize number of 821 is shown for a side show game. a) How many resulting prize numbers are possible in this game?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In a sideshow game. A player gets 3 balls to place into a Clown's mouth.
Each ball is swallowed by the Clown and is then deposited into slots that
can hold only 1 ball. Slots are numbered 1 to 9 and prizes are allocated
to a player depending on the slot value of the three balls. If for example
the first ball landed in slot 8, the second in slot 2 and the third in slot 1,
the resulting prize number would be 821 as shown in Figure 3.
3rd
2nd
bal
1 2 3
1st
al
3 4 5 6 7
Figure 3: A prize number of 821 is shown for a side show game.
8 9
a) How many resulting prize numbers are possible in this game?
Transcribed Image Text:In a sideshow game. A player gets 3 balls to place into a Clown's mouth. Each ball is swallowed by the Clown and is then deposited into slots that can hold only 1 ball. Slots are numbered 1 to 9 and prizes are allocated to a player depending on the slot value of the three balls. If for example the first ball landed in slot 8, the second in slot 2 and the third in slot 1, the resulting prize number would be 821 as shown in Figure 3. 3rd 2nd bal 1 2 3 1st al 3 4 5 6 7 Figure 3: A prize number of 821 is shown for a side show game. 8 9 a) How many resulting prize numbers are possible in this game?
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b) How many resulting prize numbers are possible that end with the
number 1?
c) How many resulting prize numbers are possible that end with an
odd number?
Transcribed Image Text:b) How many resulting prize numbers are possible that end with the number 1? c) How many resulting prize numbers are possible that end with an odd number?
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