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Problem Solving (PS) | Re: 700 Level--Out of 50 people in a party,24 preferred Chinese food,18 pr

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It is D.

To find out the maximum number of people who dont like any of the three, we can utilize the venn diagram. If we need to find the maximum number of people who do not like any food, the three food categories need to overlap in such a way that they fall over each other (Refer to the diagram).

Then the maximum number of people who do not like any food will be:
Total number of people - Number of people in the largest group= 50-24=26

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