Question

There are 5 different coloured cups in a row.

Answer 1

There are 12 possible arrangements.

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• Considering that the blue cup has to be on one end, we consider the number of arrangements possible with the other 4 cups, then multiply by 2(considering the blue on each end).

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• Considering green and yellow before red and purple, there are $2 \times 2 = 4$ outcomes(G-Y-R-P, G-Y-P-R, Y-G-R-P and Y-G-P-R).
• Another two possible outcomes are yellow-purple and green-red, or vice-versa, thus 4 + 2 = 6 outcomes.
• To account for the blue on the end, multiplying by 2. $2 \times 6 = 12$
• There are 12 possible arrangements.

A similar problem is given at brainly.com/question/24617788