Q75.Let the number of elements in sets A and B be five and two respectively. Then the number of subsets of A ร B each having at least 3 and at most 6 elements is (1) 752 (2) 782 (3) 792 (4) 772
What This Question Tests
This question tests the ability to calculate the number of elements in a Cartesian product and then apply combinations to find the number of subsets satisfying given size constraints.
Concepts Tested
Formulas Used
n(A x B) = n(A) * n(B)
nCr
๐ NCERT Sections This Tests
5.12 โ Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 ยท Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
5.18 โ What Is Crystal Field Splitting Energy? How Does The Magnitude Of Do Decide
Chemistry Class 11 ยท Chapter 5
5.18 What is crystal field splitting energy? How does the magnitude of Do decide the actual configuration of d orbitals in a coordination entity?
5.28 โ How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?
Chemistry Class 11 ยท Chapter 5
5.28 How many ions are produced from the complex Co(NH3)6Cl2 in solution? (i) 6 (ii) 4 (iii) 3 (iv) 2 139 Coordination Compounds Reprint 2025-26
๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Number of Subsets of a Cartesian Product
- Year
- 2023
- Shift
- 08 Apr Shift 1
- Q Number
- Q75
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets, Class 11 Mathematics Ch 7: Permutation & Combination
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