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Question
The number of signals that can be sent by 6 flags of different colours taking one or more at a time is ______.
Options
63
1956
720
21
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Solution
The number of signals that can be sent by 6 flags of different colours taking one or more at a time is 1956.
Explanation:
Number of signals using one flag = 6P1 = 6
Number of signals using two flags = 6P2 = 30
Number of signals using three flags = 6P3 = 120
Number of signals using four flags = 6P4 = 360
Number of signals using five flags = 6P5 = 720
Number of signals using all six flags = 6P6 = 720
Therefore, the total number of signals using one or more flags at a time is 6 + 30 + 120 + 360 + 720 + 720 = 1956 (Using addition principle).
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