1.

Find the number of different signals that can be made by arranging at least three flags in order on a vertical pole, if 6 different coloured flags are available.

Answer»
3 flags6 × 5 × 4 = 120 ways
4 flags6 × 5 × 4 × 3 = 360 ways
5 flags6 × 5 × 4 × 3 × 2 = 720 ways
6 flags6 × 5 × 4 × 3 × 2 × 1 = 720 ways

Hence the number of different at-least 3 flag signals = 120 + 360 + 720 + 720 = 1920. 



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