Q63.All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in which the odd digits occupy even places is (1) 175 (2) 162 (3) 180 (4) 160
What This Question Tests
The problem requires calculating the number of permutations of digits with repetitions, specifically under the constraint that odd digits must occupy even places, necessitating a two-step approach (placing odd digits, then placing even digits).
Concepts Tested
Formulas Used
n!/(n1!n2!...nk!)
nCr = n!/(r!(n-r)!)
๐ 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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5.23 Give the oxidation state, d orbital occupation and coordination number of the central metal ion in the following complexes: (i) K3[Co(C2O4)3] (iii) (NH4)2[CoF4] (ii) cis-[CrCl2(en)2]Cl (iv) [Mn(H2O)6]SO4
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๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Permutations with repetitions and restricted positions
- Year
- 2019
- Shift
- 08 Apr Shift 1
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Maths Ch 7: Permutations and Combinations
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