Q82.The number of permutations, of the digits 1, 2, 3, โฆ , 7 without repetition, which neither contain the string 153 nor the string 2467, is _______ .
What This Question Tests
This problem tests advanced permutation concepts, specifically avoiding certain substrings, and is best solved using the Principle of Inclusion-Exclusion.
Concepts Tested
Formulas Used
n!
Principle of Inclusion-Exclusion: |A U B| = |A| + |B| - |A intersection B|
๐ NCERT Sections This Tests
12.5 โ A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 ยท Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
14.2 โ Which Of The Statements Given In Exercise 14.1 Is True For P-Type
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
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2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Permutations with restrictions
- Year
- 2023
- Shift
- 10 Apr Shift 1
- Q Number
- Q82
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutation and Combination
More from this Chapter
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