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A necklace is made by stringing N individual beads together [#permalink]
18 Jan 2008, 10:14
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100% (00:00) correct
0% (00:00) wrong based on 3 sessions
A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begin with a red bead and ends with a white bead, then N could equal
Re: PS - probability [#permalink]
18 Jan 2008, 11:35
Here's how the necklace looks when it is strung:
We know that the length of the pattern is 5 beads (shown above). The necklace begins at the red bead and then ends in a white bead. The shortest necklace we could have would be RED-GREEN-WHITE, which would only be 3 beads and then fit the bill. The next shortest necklace we could have would be when the pattern of 5 beads has been repeated again. In other words (3+5=8 beads) In this case the pattern would loop once (5 beads), then start RED(6)-GREEN(7)-WHITE(8).
The pattern that emerges here is that the number of beads will be in this list:
3 3+5 = 8 3+5+5 = 13 3+5+5+5 = 18 etc
Any easier way of writing this pattern would be to say that the number of beads must be divisible by 5 with 3 left over. or, when the number is divided by 5 it has a remainder of 3. Then we move onto our choices: