The number of subsets of set A is twice to the number of subsets of set B.set B is larger than set C.number of subsets of set B is 15 more than number ofsubsets of set C.then find the number of subsets of set A.

1
are you sure it is 15 more?
yes sir
yes sir
thanksssssssssssss

Answers

2014-10-18T22:36:06+05:30

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Let number of elements in C = x
number of subsets of C = 2^x
Let number of elements in B = y
number of subsets of B = 2^y

according to question,
2^y - 2^x = 15
⇒ 2^y = 15+2^x
2^y is greater than 15. thus y must be greater than or equal to 4 as 2^4=16.

Thus for y=4 and x=0, it is satisfied.
So number of subsets of B = 2^4 = 16
number of subsets of A = 2*number of subsets of B = 2*16 = 32
1 5 1
sir what do you meant by 2*16
2 multiplied by 16
thanku sir
:)
sir what do you meant by 2^y