Q65.Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A Ă B, each having at least three elements is (1) 510 (2) 219 (3) 256 (4) 275
What This Question Tests
This question involves calculating the number of elements in the Cartesian product A Ă B, then using combinations to find the number of subsets with at least three elements.
Concepts Tested
Formulas Used
|A x B| = |A| * |B|
Number of subsets = 2^n
nCr
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đ Question Details
- Chapter
- Sets Relations Functions
- Topic
- Subsets of Cartesian product
- Year
- 2015
- Shift
- 04 Apr
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets
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