SOLUTION: At bus stop, there are 11 people in queue, 7adults and 4children. calculate number of arrangements of these 11 people such that CHILDREN ARE ALL STOOD NEXT TO EACH OTHER?

Question 945814: At bus stop, there are 11 people in queue, 7adults and 4children. calculate number of arrangements of these 11 people such that CHILDREN ARE ALL STOOD NEXT TO EACH OTHER?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Children are all next to each other
Children's arrangements:

Adults arrangements:

------------------------

There is one extra arrangement, and
that is swapping the 2 groups in line:
so,
possible arrangements

RELATED QUESTIONS
At bus stop, there are 11 people queueing, 7adults 4chilcdren. Calculate number of... (answered by Edwin McCravy)

There are 12 people in a bus queue. Another 5 join them before 8 people get on a bus .... (answered by Fombitz)

A bus has its maximum number of passengers when it leaves the bus station. At the first... (answered by longjonsilver,venugopalramana)

At some stops, a certain bus picks up 5 people. At other stops, it picks up 2 and, at... (answered by Edwin McCravy)

At some stops, a certain bus picks up 5 people. At other stops it picks up 2 and at the... (answered by greenestamps)

Some people got on a bus. At the first stop 2/5 of the people got off and 3/5 of the... (answered by CubeyThePenguin)

Some people got on a bus. At the first stop, one-third of the people got off and... (answered by drk,richwmiller)

A bus was travelling with 48 passengers. When it arrived at the 1st stop, some... (answered by ptaylor)

A bus left an interchange carrying some passengers with it. At the first stop, 1/4 of the (answered by mananth,MathTherapy,greenestamps)