(A) There will be as many signals as there are ways of filling in $2$ vacant places in succession by the $4$ flags of different colours.The upper vaca

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(A) There will be as many signals as there are ways of filling in $2$ vacant places in succession by the $4$ flags of different colours.The upper vacant place can be filled in $4$ different ways by any one of the $4$ flags.Following which,the lower vacant place can be filled in $3$ different ways by any one of the remaining $3$ different flags.Hence,by the multiplication principle,the required number of signals $= 4 \times 3 = 12$.

Class 11 Mathematics Permutations and Combinations Definition of permutation, Number of permutations with or without repetition, Conditional permutations

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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?

A
$12$
B
$16$
C
$8$
D
$24$

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Permutations and Combinations

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Definition of permutation, Number of permutations with or without repetition, Conditional permutations

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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?

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