In how many ways 5 boys sit round the table, so that two particular boys are next to each other?Options48244212

The problem can be solved by considering the two particular boys as one unit. This way, we have 4 units (3 individual boys and 1 pair of boys) to arrange.

Step 1: Arrange the 4 units around the table. In circular permutations, the number of arrangements is (n-1)!, where n is the number of units. So, we have (4-1)!= 3! = 321 = 6 ways.

Step 2: Arrange the two particular boys. They can be arranged in 2! = 2*1 = 2 ways.

Step 3: Multiply the number of arrangements from step 1 and step 2. So, 6*2 = 12 ways.

So, the 5 boys can sit around the table in 12 ways such that the two particular boys are next to each other.