# Mark the correct alternative in the following:The number of different signals which can be given from 6 flags of different colours taking one or more at a time, isA. 1958B. 1956C. 16D. 64

Number of signals which can be given using 1 flag = 6P1 = 6

Number of signals which can be given using 2 flag = 6P2 = 30

Number of signals which can be given using 3 flag = 6P3 = 120

Number of signals which can be given using 4 flag = 6P4 = 360

Number of signals which can be given using 5 flag = 6P5 = 720

Number of signals which can be given using 6 flag = 6P6 = 720

As, the operations are independent, so, the total number of different signals which can be given from 6 flags of different colours taking one or more at a time, is

= 6 + 30 + 120 + 360 + 720 + 720

=1956.

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