Q63.Let X = {1, 2, 3, 4, 5} . The number of different ordered pairs (Y , Z) that can be formed such that Y ⊆X, Z ⊆X and Y ∩Z is empty, is (1) 52 (2) 35 (3) 25 (4) 53
What This Question Tests
This question tests the understanding of set theory concepts like subsets and empty intersection, combined with basic counting principles. For each element, there are three possibilities regarding its membership in Y and Z.
Concepts Tested
Formulas Used
For each element x in X, it can be in Y only, Z only, or neither (3 options)
📚 NCERT Sections This Tests
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5.23 Give the oxidation state, d orbital occupation and coordination number of the central metal ion in the following complexes: (i) K3[Co(C2O4)3] (iii) (NH4)2[CoF4] (ii) cis-[CrCl2(en)2]Cl (iv) [Mn(H2O)6]SO4
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2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Operations on sets, counting subsets
- Year
- 2012
- Shift
- Offline
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets
More from this Chapter
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