ADDITIONAL MATHEMATICS 4037 · STRUCTURED PRACTICE
Paper 2 · Calculator1
A group of 8 students consisting of 5 boys () and 3 girls () line up in a single row for a photograph.
Gap 1 Gap 2 Gap 3 Gap 4 Gap 5 Gap 6
Gap Method: 5 Boys create 6 available gaps for girls (no 2 girls adjacent)
(a)
[3]Find the number of different arrangements in which the 3 girls stand together in a block.
(b)
[4]Find the number of different arrangements in which no two girls stand next to each other.
(c)
[3]Find the number of different arrangements in which student and student do not stand next to each other.
Total: 10 marks