A) Statement -1 is true, Statement -2 is true; Statement -2 is a correct explanation for Statement -1
B) Statement -1 is true, Statement -2 is true; Statement -2 is not a correct explanation for Statement -1.
C) Statement -1 is true, Statement -2 is false.
D) Statement -1 is false, Statement -2 is true.
Correct Answer: C
Solution :
S : 1 required no of groups (1, 2, 3, 4) ??????.. (17, 18, 19, 20) = 17 ways (1, 3, 5, 7) ???????.. (14, 16, 18, 20) = 14 ways (1, 4, 7, 10) ?????.. (11, 14, 17, 20) = 11 ways (1, 5, 9, 13) ???????.. (8, 12, 16, 20) = 8 ways (1, 6, 11, 16) ???????.. (5, 10, 15, 20) = 5 ways (1, 7, 13, 19) ??????? (2, 8, 14, 20) = 2 ways required arability\[=\frac{(17+14+11+8+5+2)4!}{^{20}{{C}_{4}}4!}\] \[=\frac{57\,4!}{20.19.18.17}=\frac{3.4.3.2.1}{20.18.17}\] \[=\frac{1}{85}\] \[S:1\]is true. \[S:2\] possible cases of common difference are \[[\pm 1,\pm \text{ }2,\pm 3,\pm \text{ }4,\pm 5,\pm 6]\] \[S:2\]is falseYou need to login to perform this action.
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