Hi.. :)
Q3) Simply the expression to:
1/2 log(2)2 - 1/3 log(2)2 + 1/4 log(2)2 +....
[Read log(x)y as log of y with base x]
= 1/2 - 1/3 + 1/4 +...
= 1- log 2
[Use expression of log(1-x)]
Q4) Plot the graph of f(x)
Q9) Favourable cases = Total ways - unfavorable cases
Total ways = 6C3 * 4C2
Unfavorable cases = X & Y are included together = 5C2 * 3C1
Q14) nC2 = 91
:)