3.48: Line arrangements of girls and boys

0606/22/F/M/22 — Question 3 · 5 marks

A group of students, 4 girls and 3 boys, stand in a line.

(a)

Find the number of different ways the students can stand in line if there are no restrictions.

[1]

(b)

Find the number of different ways the students can stand in line if the 3 boys are next to each other.

[2]

(c)

Cam and Dea are 2 of the girls. Find the number of ways the students can stand in line if Cam and Dea are not next to each other.

[2]