You have a bag of poker chips, containing 2 white, 1 red, and 3 blue chips. White chips are worth $1, red chips are worth $3 and blue chips are worth $5. You need $7 worth of chips in order to see someone’s raise, so you take chips out of the bag one at a time, noting the color of each one as it’s removed, and stop when the total value of the chips removed is at least $7. How many sequences of chip colors are possible when you do this?
