would you help me write a logic application for
andy has the cards1,5,and 7
belle has the crds 5,4,and 7
carol has the cards 2,4 and 6
whats the salient facts of the problem?
explain the strategy for solving the problem?
present a step by step solution for the problem.
Salient facts of the problem:
1. Andy has the cards 1, 5, and 7.
2. Belle has the cards 5, 4, and 7.
3. Carol has the cards 2, 4, and 6.
Strategy for solving the problem:
To solve this logic problem, we can use a process of deduction called the process of elimination. We will start with the given information and eliminate possibilities that are not consistent with the clues provided, until we have enough information to determine the solution.
Step-by-step solution:
1. Identify the cards that are unique to each person based on the given information:
- Andy has card 1.
- Belle has card 4.
- Carol has card 2.
2. Use the information about shared cards to further narrow down the possibilities:
- Since Andy and Belle both have card 5, no one else can have card 5. Cross out card 5 for Carol.
3. Analyze the remaining card options for each person:
- Andy can have card 7 (remaining option).
- Belle can have card 7 (remaining option).
- Carol can have card 4 (remaining option) or card 6 (no other options remaining).
4. Consider the remaining options:
- Since we know that Carol has card 4, Andy cannot have card 7 because Belle also has card 7. Cross out card 7 for Andy.
5. Finalize the solution:
- Andy has card 1 and 5.
- Belle has card 4 and 7.
- Carol has card 2 and 6.
This is the step-by-step solution using the process of elimination. By evaluating the given information and applying logical reasoning, we have determined the distribution of cards among Andy, Belle, and Carol.