Questions
The number of ways selecting three numbers from 1 to 30, so as to exclude every selection of three consecutive number is:
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a
4030
b
4031
c
4032
d
4035
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Correct option is C
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 30C3−28=4032.Similar Questions
is equal to
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