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MathsHardNumerical2022 ยท 27 Jun Shift 1

Q81.The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least 2 blue cubes, is ______.

What This Question Tests

This question requires a sophisticated application of combinatorial techniques, specifically the gap method, to arrange identical items with a minimum separation constraint.

Concepts Tested

Arrangements with restrictionsGap method (for 'at least' conditions)Stars and bars method (implicitly)

Formulas Used

Combinations for placing items in gaps

๐Ÿ“š NCERT Sections This Tests

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๐Ÿ“‹ Question Details

Chapter
Permutation & Combination
Topic
Arrangement of Identical Items
Year
2022
Shift
27 Jun Shift 1
Q Number
Q81
Type
Numerical
NCERT Ref
Class 11 Mathematics Ch 7: Permutations and Combinations

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