Q62.The number of seven digit positive integers formed using the digits 1, 2, 3 and 4 only and sum of the digits equal to 12 is _______.
What This Question Tests
This problem requires finding the number of 7-digit integers formed by specific digits (1, 2, 3, 4) whose sum is 12, involving advanced combinatorial counting techniques like generating functions or casework.
Concepts Tested
Formulas Used
Coefficient extraction from generating functions or direct counting
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๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Number of integers with given digit sum
- Year
- 2023
- Shift
- 13 Apr Shift 1
- Q Number
- Q62
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations
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