Blue Beaded
by admin on Thursday, December 16th, 2010 | Comments Off
Blue Beaded
How many different arrangements of 3 red and 3 blue beads on a bracelet are there?
I think that the easiest way to do this is by enumeration.
If there are 3 red beads in a row the 3 blue beads have to be in a row. That's pattern 1.
If no red bead touches any other red bead, then the pattern has to be RBRBRB. That's patern 2.
If the red beads are split 2 and 1.
Then the pattern has to be RRBBRB or RRBRBB.
If you flip the first pattern over (which you could do with a bracelet) they are the same, so that's only one pattern.
So 3 patterns total.
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