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Permutations And Combinations

Question
CBSEENMA11014033

Given 5 flags of different colours, how many different signals can be generated if each signal requires use of 2 flags, one below the other?

Solution

Number of ways of finding a flag for place 1 = 5
rightwards double arrow                           m = 5
Number of remaining flags = 4
Number of ways of finding a flag for place 2 to complete the signal = 4
rightwards double arrow                     n = 4
∴ By fundamental principle of counting, the number of signals generated
                       = straight m cross times straight n equals 5 cross times 4 equals 20

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