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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2010 · Mathematics · Permutation and Combination

What is the number of signals that can be sent by 6 flags of...

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 signalswillchargetherequirednumberofsignalssignals will charge the required number of signals=6P1+6P2+6P3+6P4+6P5+6P6=6+30+120+360+720+720=1956\begin{aligned} & =6 \mathrm{P}_1+6 \mathrm{P}_2+6 \mathrm{P}_3+6 \mathrm{P}_4+6 \mathrm{P}_5+6 \mathrm{P}_6 \\ & =6+30+120+360+720+720 \\ & =1956 \end{aligned}$$
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