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MathsMediumNumerical2025 ยท 23 Jan Shift 2

Q23.The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is -

What This Question Tests

This question requires calculating permutations for two mutually exclusive conditions: all boys sit together (block method) and no two boys sit together (gap method), and then summing the results.

Concepts Tested

PermutationsArrangement of distinct itemsPrinciple of Inclusion-Exclusion (or mutually exclusive cases)Gap method

Formulas Used

n! (permutations of n distinct items)

P(n,k) = n! / (n-k)!

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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5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?

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2.1 Arrange the following metals in the order in which they displace each other from the solution of their salts. Al, Cu, Fe, Mg and Zn.

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1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.

๐Ÿ“‹ Question Details

Chapter
Permutation & Combination
Topic
Arrangement with conditions
Year
2025
Shift
23 Jan Shift 2
Q Number
Q23
Type
Numerical
NCERT Ref
Class 11 Mathematics Ch 7: Permutations and Combinations

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