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In how many ways 5 boys sit round the table, so that two particular boys are next to each other?Options42124824

Question

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Solution

To solve this problem, we can use the concept of permutations in combinatorics. Here are the steps:

  1. Consider the two particular boys as a single entity. So now we have 4 entities to arrange (3 boys + 1 entity of 2 boys).

  2. Since they are sitting in a round table, the number of arrangements is (n-1)!. So, the number of ways these 4 entities can be arranged is (4-1)!= 3! = 321 = 6 ways.

  3. However, the two particular boys (considered as a single entity) can switch places with each other. So, there are 2! = 2 ways for them to sit.

  4. Therefore, the total number of ways the 5 boys can sit around the table so that the two particular boys are next to each other is 6*2 = 12 ways.

So, the correct answer is 12.

This problem has been solved

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