Q83.The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7 is _____ .
What This Question Tests
This problem applies the Principle of Inclusion-Exclusion to count 3-digit numbers divisible by 2 or 3 but not by 7, requiring careful calculation of multiples within a range.
Concepts Tested
Formulas Used
|A U B| = |A| + |B| - |A โฉ B|
|A U B| - |A U B โฉ C|
๐ NCERT Sections This Tests
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๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Principle of Inclusion-Exclusion
- Year
- 2023
- Shift
- 01 Feb Shift 1
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets
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