The number of ways selecting three numbers from 1 to 30, so as to exclude every selection of three consecutive number is:

The number of ways selecting three numbers from 1 to 30, so as to exclude every selection of three consecutive number is:

  1. A

    4030

  2. B

    4031

  3. C

    4032

  4. D

    4035

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    Solution:

    The numbers of ways of selecting 3 number our of 30 is  30C3. But this include 28 ways of selecting 3 consecutive numbers. [viz (1, 2, 3), (2, 3, 4), 3, 4, 5),……,(28, 29, 30)]

    Thus, required number of ways is  30C328=4032.

     

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