Maths · Simple applications
Suppose Mr. Ramesh have rupee 2,3 and 5 notes. In howmany ways he can get a sum
Suppose Mr. Ramesh have rupee 2,3 and 5 notes. In howmany ways he can get a sum of rupees 83 such that atleast one note of each type is present and the number of 2 rupee note(s) is less than number of 3 rupee note(s) which is again less than the number of 5 rupees note \( (s) \)
- A. 8
- B. 9
- C. 10
- D. 12
Step-by-step solution
Let x, y, z be the number of 2, 3, 5 rupee notes respectively. Conditions: x<y<z, all positive, and 2x+3y+5z=83. Since z is largest, from 5z<=83, z≤16, and from inequalities, z≥9. For each z from 9 to 16, solve 2x+3y=83-5z with x<y<z. Counting valid (x,y,z) pairs gives total 10 solutions.
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