Permutations and Combinations questions
785 published questions with worked solutions.
- There are 10 points in a plane of which no three points are collinear and 4 points are concyclic. The number of different circles...
- n lines are drawn in a plane such that no two of them are parallel and no three of them are concurrent. The number of different...
- The number of triangles that can be formed with 10 points as vertices, n of them being collinear, is 110. Then n is
- There are three coplanar parallel lines. If any p points are taken on each of the lines, the maximum number of triangles with...
- Two teams are to play a series of 5 matches between them. A match ends in a win or loss or draw for a team. A number of people...
- In a room there are 12 bulbs of the same wattage, each having a separate switch. The number of ways to light the room with...
- The number of 5-digit numbers that can be made using the digits 1 and 2 and in which at least one digit is different, is
- In a club election the number contestants is one more than the number of maximum candidates for which a voter can vote. If the...
- The total number of selections of at most n things from (2n+1) different things is 63. Then the value of n is
- Let 1 m<n p. The number of subsets of the set A= 1,2,3, ,p having m,n as the least and the greatest elements respectively, is
- The number of ways in which n different prizes can be distributed among m ,(<n) persons if each is entitled to receive at most...
- The number of possible outcomes in a throw of n ordinary dice in which at least one of the dice shows an odd number is
- The number of different 6-digit numbers that can be formed using the three digits 0, 1 and 2 is
- The number of different matrices that can be formed with elements 0, 1, 2, or 3, each matrix having 4 elements, is
- The number of different pairs of words ( , ) that can be made with the letters of the word STATICS is
- Total number of 6-digit numbers in which all the odd digits and only odd digits appear, is
- The number of different ways in which 8 persons can stand in a row so that between two particular persons A and B there are...
- From 4 gentlemen and 6 ladies a committee of five is to be selected. The number of ways in which the committee can be formed so...
- The number of ways in which the letters of the word ARTICLE can be rearranged so that the even places are always occupied by...
- A cabinet of ministers consists of 11 ministers, one minister being the chief minister. A meeting is to be held in a room having...
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Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration