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+2 votes
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in Mathematics by (63.2k points)
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Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?

2 Answers

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by (266k points)
 
Best answer

Each signal requires the use of 2 flags.

There will be as many flags as there are ways of filling in 2 vacant places in succession by the given 5 flags of different colours.

The upper vacant place can be filled in 5 different ways by any one of the 5 flags following which, the lower vacant place can be filled in 4 different ways by any one of the remaining 4 different flags.

Thus, by multiplication principle, the number of different signals that can be generated is 5 × 4 = 20.

+3 votes
by (13.2k points)

Solution: We know

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