Elements of set

'A' is a set containing n elements. A subset 'P' of 'A' is chosen. The set 'A' is reconstructed by replacing the elements. A subset 'Q' is again chosen.
Now...

13 Answers

33
Abhishek Priyam ·

Q1. the total no of ways to choose 'P' and 'Q'.....

Q.2 such that P intersection Q is null set.

Q.3 such that P is subset of Q.

Q.4 such that P intersection Q is null set and P union Q is set A

Q.5 P intersection Q contains exactly one element.

Q.6 P intersection Q contains exactly two element.

Q.7 P union Q has all elements of A except 1.

33
Abhishek Priyam ·

Q.8 P union Q has has exactly two elements of A

Q.9 P and Q has same no of elements

Q.10 no of elements in P is more than Q.

Q.11 no of elements in P is exactly one more than Q.

1
Kumar Saurabh ·

1) 2n.2n

1
Kumar Saurabh ·

2) 3n

1
Kumar Saurabh ·

3) 3n

i am not full sure. but i think

1
Kumar Saurabh ·

4) 2n

62
Lokesh Verma ·

6) no of ways to select 2 elements = nc2

remaining n-2 elements are either in P only or Q only or neither:

So it is 3n-2

So it should be 3n-2. nc2

1
Kumar Saurabh ·

5,6, 7 no idea i get

33
Abhishek Priyam ·

ok i was also getting same answer for Q6

33
Abhishek Priyam ·

all frm 1-4 are correct try others........ if u solved 1-4 u can solve others may be explanation for Q.6 will give u a hint....

11
Shailesh ·

5) n. 3n-1

6) n.(n-1)/2. 3n-2

more i am thinking.

11
Shailesh ·

7) n. 3n-1

11
Shailesh ·

8) n.(n-1)/2 . 32

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