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MathsMediumMCQ2020 ยท 05 Sep Shift 2

Q53.There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is: (1) 3000 (2) 1500 (3) 2255 (4) 2250

What This Question Tests

This question tests the application of combinations to solve a problem with constraints, specifically distributing 5 questions among 3 sections, with at least one question from each section.

Concepts Tested

Combinations (nCr)Casework for selection with conditions

Formulas Used

nCr = n! / (r! * (n-r)!)

๐Ÿ“š NCERT Sections This Tests

5.12 โ€” Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of

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5.15 Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory: (i) [Fe(CN)6] 4โ€“ (ii) [FeF6] 3โ€“ (iii) [Co(C2O4)3]3โ€“ (iv) [CoF6] 3โ€“

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1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.

๐Ÿ“‹ Question Details

Chapter
Permutation & Combination
Topic
Combinations with constraints
Year
2020
Shift
05 Sep Shift 2
Q Number
Q53
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 7: Permutations and Combinations

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