Permutations and Combination — Maths STD 11 Science — Question

Three of the six vertices of a regular hexagon are chosen at random. What is the probability that the triangle with these vertices is equilateral.

There vertices of a parallelgoram, taen in order, are (-1, -6), (2, -5) and (7, 2).Write the coordinates of its fourth vertex.

Find the radian measure corresponding to the following degree measures:
300°

If a coin is tossed two times, describe the sample space associated to this experiment.

Find the ratio in which the line segment joining the points (2, 4, 5) and (3, −5, 4) is divided by the yz-plane.

The given following sets are finite & in which of it infinite in if?
Set of letters of the English Alphabets;

How many distinct 5 digit numbers can be formed using the digits 3, 2, 3, 2, 4, 5.

Four objects in a set of ten objects are alike. Find the number of ways of arranging them in a circular order.

Which of the following relations are functions? If it is a function determine its domain and range.

{(0, 0), (1, 1), (1, -1), (4, 2), (4, -2) (9, 3), (9, -3), (16, 4), (16, -4)}