mat 2025 Q26X(iii)

mat · Uk 3 marks Combinations & Selection Geometric Combinatorics
For $n \geq 4$, an $n$-star is a collection of $n$ distinct points, with each pair connected by a straight line segment. For $n = 4,5,6,7,8$, how many $n$-stars are there in the first diagram in total? Explain your answers.
For $n \geq 4$, an $n$-star is a collection of $n$ distinct points, with each pair connected by a straight line segment. For $n = 4,5,6,7,8$, how many $n$-stars are there in the first diagram in total? Explain your answers.