JEE Main 2020MathematicsPermutation CombinationMediumNumerical

JEE Main 2020Permutation Combination Question with Solution

JEE Main 2020 (08 Jan Shift 1)

Question

An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then, the number of ways in which 4 marbles can be drawn so that at the most three of them are red is ___________.

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Show full solutionCorrect answer: 490
Correct answer
490

Step-by-step explanation

We have,5  red,4 black, 3 white marbles
Required number of ways 

=C05×C47+C15×C37+C25×C27+C35×C17   

=35+175+210+70

=490

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About this question

This is a previous-year question from JEE Main 2020, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.