Combination 2

2) Given a subset X = {x1 , x2 , x3, ..............., x n } a subset P of X is formed and set is reconstructed by replacing the elements of P into X and then another subset Q of X is formed. Find the total no. of pair of subsets P and Q where
(i) P ∩ Q = null set
(ii) P ∩ Q contains exactly R elements

[where ∩ implies intersection of two sets]

4 Answers

19
Debotosh.. ·

ans 1> 3n.....there are three places ,after the reconstruction, in which each of the (n) elements can go !

1
Little Angel ·

Yes Correct Debotosh

62
Lokesh Verma ·

The second one is

nCr 3n-r

Think of the logic after seeing the answer

19
Debotosh.. ·

yes,,,,i think i have got some of it !

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