DIRECTIONSfor the question:Solve the following question and mark the best possible option.The diagram shows five discs connected by five line segments. Three colours are available to colour these discs. How many different ways is it possible to colour all five discs if discs which are connected by a line segment are to have different colours?a)6b)12c)30d)36Correct answer is option 'D'. Can you explain this answer?

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DIRECTIONS for the question: Solve the following question and mark the best possible option.

The diagram shows five discs connected by five line segments. Three colours are available to colour these discs. How many different ways is it possible to colour all five discs if discs which are connected by a line segment are to have different colours?

a)
6
b)
12
c)
30
d)
36

Correct answer is option 'D'. Can you explain this answer?

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DIRECTIONSfor the question:Solve the following question and mark the b...

Disc A may have any one of the three colours and for each of these, disc B may have two colours.

So these two discs may be coloured in six different ways.

If discs C and D have the same colour, then they may be coloured in two different ways and for each of these, disc E may have two colours.
So the discs may be coloured in 24 different ways if C and D are the same colour.

However, if discs C and D are different colours, then C may have one of the two colours, but the colour of discs D and E are then determined.

So the discs may be coloured in 12 different ways if C and D are different colours.

In total therefore, the discs may be coloured in 36 different ways.

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DIRECTIONSfor the question:Solve the following question and mark the best possible option.The diagram shows five discs connected by five line segments. Three colours are available to colour these discs. How many different ways is it possible to colour all five discs if discs which are connected by a line segment are to have different colours?a)6b)12c)30d)36Correct answer is option 'D'. Can you explain this answer?

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