In how many different ways can 3 persons A, B, C having 6 one-rupee coin 7 one-rupee coin, 8 one-rupee coin, respectively, donate 10 one-rupee coin collectively?

Two coin (a one rupee coin and a two rupee coin) are tossed once. Find a sample space.

Find the probability of drawing a one-rupeee coin from a purse with two compartments one of which contains 3 fifty paise coins and 2 one rupee coins and other contains 2 fifty paise coins and 3 one-rupee coins

In how many ways can one choose 5 books from 10 different books?

In each of the following experiments specify appropriate sample space (i) A boy has 1 rupee coin, a 2 rupee coin and a 5 rupee coin in his pocket. He takes out two coins out of his pocket, one after the other. (ii) A person is noting down the number of accidents along a busy highway during a year.

Given three idential boxes I, II and IIl each containing two coins. In box I, both coins are gold coins, in box II, both are silver coins and in box III, there is one gold coin and one silver coin. A person chooses a box at random and takes out a coin. If the coin is gold, what is the probability that the other coin in the box is also gold.

A coin is tossed 8 times. (i) How many different sequences of heads and tails are possible ? (ii) How many different sequences containing six heads and two tails are possible ?

There are 3 books of mathematics, 4 of science, and 5 of literature. How many different collections can be made such that each collection consists of (1)one book of each subject, (2)at least one book of each subject, (3)at least one book of literature.