Linear Games Questions - - Question 17

If on a nine-bead strand the first and fourth beads from the clasp are purple, and the second and fifth beads are yel...

kjmc11 December 17, 2020

This says any consecutive 8 beads must contain all colors. Why can't beads 2 though 9 contain each color and satisfy the rule? If 2-9 can satisfy the rule than the 8th bead can be green and the question would have more than one right answer.

Seems to me the wording of this is poor and the question is flawed. P Y R P Y R G G O violates no rules and neither does P Y R P Y R Y G O

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shunhe December 18, 2020

Hi @kjmc11,

Thanks for the question! This one is a tricky one that trips people up, but basically, “any” consecutive 8 beads must contain all colors is not the same as “at least one set of” consecutive 8 beads must contain all colors. “Any” consecutive 8 beads means that if you have a 10-bead strand, beads 1-8 contain all colors, 2-9 contain all colors, and 3-10 contain all colors. Take a look at your examples: your beads 1-8 are both missing orange. If beads 1-8 don’t have a color, is it true that “any” consecutive 8 beads have all colors? No, and beads 1-8 are an example of consecutive beads that don’t have all colors. So it’s a bit tricky, but makes sense when you think about what the word “any” means, versus a word like “at least one, 8 consecutive beads have all the colors.”

Hope this helps! Feel free to ask any other questions that you might have.

May-Salah December 20, 2020

exactly what i was thinking, thank you for asking and thank you for clarifying

shunhe December 20, 2020

Glad I was able to help!