Question
How many solutions are there for the equation A+B+3C = 10 if A,B,C are whole numbers?
Answer: Option D
:
D
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D
Option (d)
It is given that A,B and C can take values ≥0
Give values to C from 0
At C=0, the equation changes to A+B=10. Number of solutions will be based on
arrangement of 10 zeroes and 1 one = 11C1=11
At C=1, the equation changes to A+B=7. Number of solutions= 8C1=8
At C=2, the equation changes to A+B=4. Number of solutions= 5C1=5
At C=3, the equation changes to A+B=1. Number of solutions= 2C1=2
Total number of solutions = 11+8+5+2 = 26
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