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(A) Each signal requires the use of $2$ flags,one below the other.The number of signals is equal to the number of ways of filling $2$ vacant places in

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$20$

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(A) Each signal requires the use of $2$ flags,one below the other.The number of signals is equal to the number of ways of filling $2$ vacant places in succession using $5$ flags of different colours.The upper vacant place can be filled in $5$ different ways by any one of the $5$ flags.After filling the upper place,the lower vacant place can be filled in $4$ different ways by any one of the remaining $4$ flags.By the multiplication principle,the total number of different signals that can be generated is $5 	imes 4 = 20$.

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?

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