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JEE Main 20208 JanuaryMorning Shift
Exam
JEE Main
Year
2020
Date
8 January
Shift
Morning Shift
Subject
Mathematics
Chapter
Permutation and Combination

JEE Main 2020 · 8 January · Morning Shift · Mathematics · Permutation and Combination

An urn contains 5 red marbles, 4 black marbles and 3 white marbles....

An urn contains 55 red marbles, 44 black marbles and 33 white marbles. Then, the number of ways in which 44 marbles can be drawn so that at the most three of them are red is ___________.

Correct answer

0

Step-by-step solution

We have,55 red,44 black, 33 white marbles
Required number of ways

=C05×C47+C15×C37+C25×C27+C35×C17= C0 5 \times C4 7 + C1 5 \times C3 7 + C2 5 \times C2 7 + C3 5 \times C1 7

=35+175+210+70= 35 + 175 + 210 + 70

=490= 490

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