Question:
Which of the following is not a possible combination of number of sports taken up by John, Mike, and Lewis?
Which of the following is not a possible combination of number of sports taken up by John, Mike, and Lewis?
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Always validate option feasibility with known total counts of events and participant caps.
Updated On: Jul 28, 2025
- John – 1, Mike – 2, Lewis – 2
- John – 1, Mike – 1, Lewis – 1
- John – 1, Mike – 2, Lewis – 1
- John – 2, Mike – 1, Lewis – 2
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
From statements:
- Peter did 3 sports
- Each sport has at least 1 person
- Total sports = 4, total participations = PG(2) + BJ(2) + SK(3) + RC(1) = 8
- 8 participations spread across 4 persons: John, Mike, Lewis, Peter
- If Peter took 3 sports, then remaining 5 participations must be spread across John, Mike, and Lewis
Option
(b): All three took only 1 sport → total = 1 + 1 + 1 = 3 \(\Rightarrow\) Peter must have taken 5 sports — impossible, only 4 sports exist \[ \Rightarrow \boxed{\text{B}} \text{ is not possible} \]
- Peter did 3 sports
- Each sport has at least 1 person
- Total sports = 4, total participations = PG(2) + BJ(2) + SK(3) + RC(1) = 8
- 8 participations spread across 4 persons: John, Mike, Lewis, Peter
- If Peter took 3 sports, then remaining 5 participations must be spread across John, Mike, and Lewis
Option
(b): All three took only 1 sport → total = 1 + 1 + 1 = 3 \(\Rightarrow\) Peter must have taken 5 sports — impossible, only 4 sports exist \[ \Rightarrow \boxed{\text{B}} \text{ is not possible} \]
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