Two finite sets have m and n elements. The total number of first set is 56 more than the total number of subsets of the second set. Find the values of m and n.
Asked by Prince Sonu
| 24th Jul, 2013,
08:23: PM
Expert Answer:
Let A and B be two sets having m and n numbers of elements respectively
number of subsets of A=2m
number of subsets of B=2n
according to question
2m-2n=56
2n(2m-n-1)=23(23-1)
therefore,
n=3 and m-n=3
m=6
number of subsets of A=2m
number of subsets of B=2n
according to question
2m-2n=56
2n(2m-n-1)=23(23-1)
therefore,
n=3 and m-n=3
m=6
Answered by
| 25th Jul, 2013,
09:22: AM
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