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Leo participated in a race of motor bikes. Flags of different colours are lowered to give different signals. How many different signals can be made here, using any number of flags from 5 flags of different colours?
  • a)
    5
  • b)
    3125
  • c)
    25
  • d)
    325 
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Leo participated in a race of motor bikes. Flags of different colours ...
Signals can be made by using at a time one, two, three, four and five flags.
∴ Total number of signals that can be made = 5P1 + 5P2 + 5P3 + 5P4 + 5P5

= 5 + (5 × 4) + (5 × 4 × 3) + (5 × 4 × 3 × 2 × 1) + (5 × 4 × 3 × 2 × 1)
= 5 + 20 + 60 + 120 + 120
= 325
So, 325 signals can be made using five flags.
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Leo participated in a race of motor bikes. Flags of different colours are lowered to give different signals. How many different signals can be made here, using any number of flags from 5 flags of different colours?a)5b)3125c)25d)325Correct answer is option 'D'. Can you explain this answer?
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