A) 85
B) 100
C) 120
D) 240
Correct Answer: C
Solution :
[c] The number of ways of selecting 3 persons from 12 people under the given condition: = Number of ways of arranging 3 people among 9 people seated in a row, so that no two of them are consecutive = Number of ways of choosing 3 places out of the 10 [8 in between and 2 extremes] \[{{=}^{10}}{{C}_{3}}=\frac{10\times 9\times 8}{3\times 2\times 1}=5\times 3\times 8=120\]
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