In how many ways can the adjacent diagram be coloured if each of the smaller triangle is to be coloured with one of the three colours : red, blue or green and no two adjacent triangles have the same colour?

In how many ways can the following diagram be coloured subject to the following conditions ? Each of the smaller triangle is to be painted with one of the three colours, red, blue or green.

In how many ways can 6 beads of same colour form a necklace ?

In how many ways can the following diagram be coloured subject to the following conditions ? No two adjacent regions receive the same colour .

How many medians can a triangle have ?

How many medians can a triangle have?

In how many ways can 4 red, 3 yellow and 2 green discs be arranged if the discs of the same colour are indistinguishable ?

Each of the six squares in the strip shown in the fig., is to be coloured with anyone of ten different colours so that no two adjacent squares have the same colour. Find the number of ways of colouring the strip.

How many altitudes can a triangle have?

How many pairs of adjacent sides are there in a triangle? Name them