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  • How many different signals can be generated using 4 different colored flags if each signal requires the use of 3 flags, one below the other?Option: 1</

How many different signals can be generated using 4 different colored flags if each signal requires the use of 3 flags, one below the other?

Option: 1

24


Option: 2

36


Option: 3

60

 


Option: 4

72


Answers (1)

best_answer

Each and every signal requires the use of 3 signals.

The ways of filling in 3 vacant places in succession by the given 4 flags of different colors.

The first vacancy can be filled in four different ways by any of the four flags.

The second vacancy can be filled in three different ways by any of the three flags.

The first vacancy can be filled in two different ways by any of the two flags.

Using the multiplication principle, the different ways signals are produced are,

4\times 3\times 2=24

Therefore, the number of ways the signal is generated is 24 ways.

Posted by

Suraj Bhandari

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