An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?

A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750, then n is equal to :

A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs. 12 when the throw results in the sum of 9, and loses Rs. 6 for any other outcome on the throw. Then the expected gain/loss (in Rs.) of the person is :

A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :