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If A={1,2, 3, 43 , B. {3,4, 1,6,7} then find
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11th
Maths
Sets
Subset, Proper Subset, Power and universal Set
If X = {1, 2, 3, ..., 10 }...
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Asked on October 15, 2019 by
Paluck Perumal
If X={1,2,3,...,10} and A={1,2,3,4,5}. Then, the number of subsets B of X such that A−B={4} is
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ANSWER
Given, X={1,2,3,....,10}
and A={1,2,3,4,5}
Now, A−B={4}
⇒B=A−{4}={1,2,3,4,5}−{4}
={1,2,3,5}
∴X−{4}−B
={1,2,3,...,10}−{4}−{1,2,3,5}
={6,7,8,9,10}
Therefore,number of subsets B of X i.e., {6,7,8,9,10} =2
5
.
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