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3 distinct integers are selected at random from 1 to 20. find the probability that their sum is divisible by 5.
Dear Sathyaram,
e total number of ways of selecting three integers from 1 to 20 is C(20,3).
now make all the possible cases where their sum is divisible by 5.
like 2, 8, 5 is such one set,
3,7,5 is another.
Answer is 3/19
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