Maths · Simple applications
In how many different ways can three persons having 6,7 and 8 one rupee coins re
In how many different ways can three persons \( A, B, C \) having 6,7 and 8 one rupee coins respectively donate \( \boldsymbol{R} \boldsymbol{s} . \mathbf{1 0} \) collectively?
- A. 45
- B. 46
- C. 47
- D. 48
Step-by-step solution
Total nonnegative integer solutions to x+y+z=10 is C(12,2)=66. Subtract violations: x≥7 gives 10, y≥8 gives 6, z≥9 gives 3. No overlaps, so valid=66-19=47.
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