Let A and B be two finite sets with m and n elements respectively. The total number of subsets of the set A is 56 more than the total number of subsets of B. Then the distance of the point P(m,n) from the point Q(-2,-3) is :
- 8
- 10
- 4
- 6
Answer
(2) 10
Solution
2m-2n=56
2n (2m-n-1 )=23 7
∵ 2m-n-1 is odd: 2n=23 and 2m-n-1=7
n=3, m=6
PQ= (6+2)2+(3+3)2= 100=10
Answer: (2)