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The Magic Cafe Forum Index » » Magical equations » » Rainbow Matrix - Prism (0 Likes) Printer Friendly Version

10cardsdown
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Out There Somewhere
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On page 199 of Prism, in The Violet Book of Mentalism, Phil Goldstein has an effect entitled "Rainbow Matrix". After the lines are drawn by the spectators, the book states "that the four colors can be arranged into twenty-four different arrangements".

I'm having a hard time understanding how 4 rows with 4 different colors produces 24 different combinations? If anyone can help, I would sincerely appreciate it! Smile
How_Soon_Is_Now
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Israel
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Your first selection - which color to use on the first row - for that you have 4 possible choices.

Now you're left with 3 colors.

Your second selection - which color to use on the second row - for that you have 3 possible choices.

Now you're left with 2 colors.

Your third selection - which color to use on the third row - for that you have 2 possible choices.

Now you're left with one color which you must use on the last row.

All in all - you have 4 X 3 X 2 = 24 possibilities.

Still not convinced ?

R - Red
G - Green
B - Blue
O - Orange

1 RGBO
2 RGOB
3 RBGO
4 RBOG
5 ROGB
6 ROBG
7 GRBO
8 GROB
9 GBOR
10 GBRO
11 GORB
12 GOBR
13 BORG
14 BOGR
15 BROG
16 BRGO
17 BGRO
18 BGOR
19 ORGB
20 ORBG
21 OGBR
22 OGRB
23 OBGR
24 OBRG

24 - No duplicates and no other possibilities.
"I know your trail of tears, your slip of hand/ Your monkey paw, your monkey claw/ And you monkey hand/ I've seen your trick of blood, your trap of fire/ Your ancient wound, your scarlet moon/ And your jailhouse smile" - Cave
10cardsdown
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Out There Somewhere
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Absolutely awesome!!!!!!!!!!! I can't thank you enough for explaining this to me. It all makes sense now. Thank you so much, How_Soon_Is_Now. Smile
SHoT
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While it is absolutely correct that the spectator has only 24 possibilities,
you might claim that he randomly selected "4 out of 24" which is 255.024 possibilities ...

S/
Parson Smith
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Richard Busch has some nice work on this called Think of Any Number in Number ... Please.
Peace,
Parson
Here kitty, kitty,kitty. Smile
+++a posse ad esse+++
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