Three boys and three girls are arranged at random in a row. What is the probability that all three boys are standing next to each other?
Put all the three boys as one block. In the block, they can be arranged in 3x2x1=6 ways. Then the arrangment for four people (the three girls and one block of boys) is 4x3x2x1=24.
Multiply 6x24 to get our answer, 144.