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Q27 of 162 Page 1

Mark the correct alternative in the following:

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively.


Let A and B be the set which contain m and n elements respectively.


Then n(P(A) )=2m and n(P(B) )=2n


Also given that,n(P(A) )=n(P(B) )+112


⇒2m =2n +112


Above equation is only true when m=7 and n=4.

More from this chapter

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25

Mark the correct alternative in the following:

In a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?


26

Mark the correct alternative in the following:

Suppose A1, A2,...,A30 are thirty sets each having 5 elements and B1, B2,...,Bn are n sets each with 3 elements, let and each element of S belongs to exactly 10 of the and exactly 9 of the , then n is equal to


28

Mark the correct alternative in the following:

For any two sets A and B, is equal to


29

Mark the correct alternative in the following:

The set is equal to


Questions · 162
1. Sets
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