A) \[\frac{3}{35}\]
B) \[\frac{4}{35}\]
C) \[\frac{2}{35}\]
D) \[\frac{1}{35}\]
Correct Answer: C
Solution :
The number of ways of selecting four numbers from 1, 2, 3, 4, 5, 6, 7 are\[^{7}{{C}_{4}}\] The number of ways that the sum of these four numbers is less than 12 ie, (1,2,3,4) and (1,2,3,5) \[\therefore \]Required probability\[=\frac{2}{^{7}{{C}_{4}}}\] \[=\frac{2}{35}\]
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