Q63.The number of triplets ๐ฅ, ๐ฆ, ๐ง where ๐ฅ, ๐ฆ, ๐ง are distinct non negative integers satisfying ๐ฅ+ ๐ฆ+ ๐ง= 15, is (1) 80 (2) 136 (3) 114 (4) 92
What This Question Tests
This problem requires finding the number of distinct non-negative integer solutions to a linear equation, which involves a combination of combinations with repetition and handling the distinctness constraint.
Concepts Tested
Formulas Used
Number of non-negative integer solutions: (n+r-1)C(r-1)
๐ NCERT Sections This Tests
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1.3 โ Define The Following Terms:
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๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Combinations with Repetition
- Year
- 2023
- Shift
- 11 Apr Shift 1
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations
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