Permutations and Combinations questions
785 published questions with worked solutions.
- There are 720 permutations of the digits 1,2,3,4,5,6. Suppose these permutations are arranged from smallest to largest numerical...
- Number of ways in which the letters of the word 'ABBCABBC can be arranged such that the word ABBC does not appear is any word, is...
- If number of selections of 6 different letters that can be made from the words 'SUMAN' and 'DIVYA' so that each contains 3...
- A class has three teachers, Mr. P, Ms. Q and Mrs. R and six students A, B, C, D, E, F. Number of ways in which they can be seated...
- Let P_n denotes the number of ways in which three people can be selected out of 'n' people sitting in a row, if no two of them...
- There are 20 books on Albegra and Calculus in one library. For the greatest number of selections each of which consists of 5...
- Number of ways in which 5 A's and 6 B's can be arranged in a row which reads the same backwards and forwards, is N then value of...
- Consider the five points comprising of the vertices of a square and the intersection point of its diagonals. How many triangles...
- Number of permutations of 1,2,3,4,5,6,7,8 and 9 taken all at a time are such that the digit 1 appearing somewhere to the left of...
- Number of 4 digit numbers of the form N=abcd which satisfy following three conditions 1. 4000 N<6000 2. N is a multiple of 5 3. 3...
- If ^ n-1 C_3+ ^ n-1 C_4> ^nP_3, then
- 12 persons are to be arranged to a round table. If two particular persons among them are not to be side by side, the total number...
- If 7 points out of 12 are in the same straight line, then the number of triangles formed is
- Four couples (husband and wife) decide to form a committee of four members. The number of different committees that can be formed...
- The number of ways four boys can be seated around a round table in four chairs of different colours is
- How many numbers between 5000 and 10,000 can be formed using the digits 1,2,3,4,5,6,7,8,9, each digit appearing not more than...
- The number of ways in which n ties can be selected from a rack displaying 3n different ties is
- A father with 8 children takes 3 at a time to the Zoological Gardens, as often as he can without taking the same 3 children...
- The total number of ways of dividing mn things into n equal groups, is
- Ramesh has 6 friends. In how many ways can he invite one or more of them at a dinner?
Other chapters
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