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MathsMediumNumerical2020 ยท 08 Jan Shift 1

Q72.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 ___________.

What This Question Tests

The problem asks for the number of ways to draw marbles with a constraint ('at most three of them are red'), which can be solved by considering complementary counting or by summing valid cases.

Concepts Tested

Combinations (nCr)Principle of inclusion-exclusion (implicit)Case work based on constraints

Formulas Used

โฟCแตฃ = n! / (r!(n-r)!)

๐Ÿ“š NCERT Sections This Tests

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๐Ÿ“‹ Question Details

Chapter
Permutation & Combination
Topic
Combinations with constraints
Year
2020
Shift
08 Jan Shift 1
Q Number
Q72
Type
Numerical
NCERT Ref
Class 11 Mathematics Ch 7: Permutations and Combinations

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