Given $4$ flags of different colours, how many different signals can be generated. If a signal requires the use of $2$ flags one below the other?

4

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3

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12

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1

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Solution

The correct option is D $12$
No. of ways of selecting two flags out of four = $^{4} C_{2}$

So, total possible different signals generated = $^{4} C_{2} \times 2!$

$⟹ 6 \times 2 = 12$

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