Question

for a group photo a principal, 4 professors, 2 girls and 4 boys are to be arranged in chairs, in a row. if the principal is to occupy the middle chair, the boys to occupy last two chairs, on either side and if the girls do not want to sit with the boys, find the number of ways in which arrangements can be made

Answer 1

total no of people = 11
they can sit on the either side of the principle or on either of the sides{right or left}

Answer 2

There are total 11 people for group photo.

.

principle occupy always middle chair

it means principle arrangement is ¹p1 = 1

now 4 boys can seat last two seat of both side of 11 chairs it mean they seat in photo no 1 , 2, 10,11

they arrangment is ⁴p4 =24

girls not seat side of boys so girls not occupy 3 and 9 no seat u see in photo

2 girls have 4 arrangment ⁴p2 = 12

now last less 4 seats for 4 professor

⁴p4 =24

so your final ans is

24 × 24 × 12 × 1 = 6912

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