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December 16th, 2011, 07:19 PM   #1
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probability with combination

There are k sets of numbers : {0,1,2,.,m1}, {0,1,2,..,m2}, ,{0,1,2,,mk}
Such that m1<m2<<mk.
1. How many combinations of k elements can be made taken 1 element from each set such that each set has all distinct elements (no two elements are equal) ?
2. What is the probability that any two sets will have at least one element common ?
(Please provide procedure and explanation)
N.B. : I am looking for number of COMBINATIONS, not PERMUTATIONS i.e., sets with same set of elements (although in different order) will be treated as one.
Please name the formula/rule/reference used so that I can learn them.
Plz help, it's urgent.
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