If a choir consists of 2 boys and 5 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.	Choose the correct option:
A) 120 B) 30 C) 24 D) 11 E) 6
There are 6 possibilities:   bbgggggg   gbbggggg   ggbbgggg   gggbbggg   ggggbbgg   gggggbbg   ggggggbb   Think of all 2 boys as a single unit. Together with 5 girls it makes a total of 6 units. The difference between the arrangements is the position of the boys (as a single unit). So the problem reduces to finding the number of unique patterns generated by changing the position of the boys who can occupy 1 of 6 available positions. If the number of available unique positions is 6, then the number of unique patterns equals 6 as well.   Answer: 6.
<result>E</result>
If a choir consists of 2 boys and 5 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.