The colors red, orange, green, blue, indigo, and violet are written on slips of paper and placed in a hat. What is the probability that the slips will be chosen in the order of the colors of a rainbow (the order listed above)

Question

The colors red, orange, green, blue, indigo, and violet are written on slips of paper and placed in a hat.  What is the probability that the slips will be chosen in the order of the colors of a rainbow (the order listed above)

Student · Accepted Answer

my book says 1/5040 could you tell me how to get it

Reiny · Answer

The colours can be arranged in 6! or 720 ways. The above order is one of these. So the prob of that particular order is 1/720

msp · Answer

I think you may have forgotten one of the colors...yellow. There are 7 colors in the rainbow, so it would be 7! or 7x6x5x4x3x2x1 which would give you 5040.

Student · Answer

youre my new bestfriend thanks msp!