For the following questions answer them individually
If $$d_i$$ stands for the difference of ranks and if $$\sum_{i = 1}^n d_i^2 = \frac{(n - 1)n(n + 1)}{8}$$, then the value of the
coefficient of rank correlation is
A problem in Mathematics is given to three students A, B and C whose chances of solving it are $$\frac{1}{3}, \frac{1}{4}$$ and $$\frac{1}{2}$$ respectively. What is the probability that the problem will be solved by at least one of them?
If a card is drawn at random form a well shuffled pack of 52 cards, then the probability that it is a spade or a king is
A and B are two sets such that n(A) = 3 and n(B) = 2. If a relation from A to B is selected at random, then the probability that the relation will be a function is