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A person can go from place “P” to “Q” by 7 different modes of transport, but is allowed to return back to “P” by any mode other than the one used earlier. In how many different ways can he complete the entire journey?

  • A.42
  • B.30
  • C.11
  • D.15

Answer: A

Seven modes are available going out, and the return must differ from the one used.

\[ 7 \times 6 = 42 \]

The restriction removes exactly the seven journeys that would repeat a mode.

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