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NDA2010MathematicsPermutation and CombinationActual

What is the number of signals that can be sent by 6 flags of different colours taking one or more at a time?

Options

  1. A21
  2. B63
  3. C720
  4. D1956

Correct answer

D. 1956

Step-by-step solution

By alternation in the arrangement of flags the signals will charge the required number of signals aligned & =6 P ₁+6 P ₂+6 P ₃+6 P ₄+6 P ₅+6 P ₆ & =6+30+120+360+720+720 & =1956 aligned

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