Q. 55.0( 2 Votes )

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, is

A. 1958

B. 1956

C. 16

D. 64

Answer :

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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