A bag contains 12 two rupee coins, 7 one...

A bag contains 12 two rupee coins, 7 one rupee coins and 4 half a rupee coins. If three coins are selected at random, p=probability that the sum of the three coins is maximum, q=probability that the sum of the three coins is minimum,r=probability that each coin is of different value. Arrange p,q and r in increasing order of magnitude.

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