An urn contains black and white balls only. It is known that we can draw at random with equal probability two balls of same colour or two balls of different colours. What is the total number of balls in the urn if there are atleast 2014 balls and atmost 2114 balls.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!