Sets

For the set of numbers

x, x, x + 2, x + 3, x + 10

where x is a natural number, which of the following is/are correct?

1. Mean > Mode
2. Median > Mean

Select the correct answer using the code given below:

Let A=(–3, –2, –1, 0, 1, 2, 3} and B= {0, 1, 4, 9). How many elements does the subset of A × B corresponding to the relation R = {(x, y): |x|< y} have, where x ∈ A and y ∈ B?

Set X contains 3n elements and set Y contains 2n elements, and they have n elements in common elements does (X - Y)×(Y - X) have?

In a class of 45 students, 34 like to play cricket and 26 like to play football. Further, each student likes to play at least one of the two games. How many students like to play exactly one game?

If A and B are non-empty subsets of a set, and A^c and B^c represent their complements, then which of the following is/are correct?

 I. A - B = B^c - A^c

II. A - B^c = A^c - B

 Select the answer using the code given below.