Find the number of triangles that can be formed from the vertices of a hexagon.

(b)

Encik Samad wants to choose three types of batik motifs from four organic motifs and five geometrical motifs. Find the number of ways to choose at least one organic motif and one geometrical motif.

Solution

(a)

Hexagon has six vertices.

To form a triangle, any three vertices are required.

Find the number of triangles that can be formed from the vertices of a hexagon.

(b)

Encik Samad wants to choose three types of batik motifs from four organic motifs and five geometrical motifs. Find the number of ways to choose at least one organic motif and one geometrical motif.

Solution

(a)

Hexagon has six vertices.

To form a triangle, any three vertices are required.