Permutations and Combinations questions
785 published questions with worked solutions.
- The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is...
- A natural number has prime factorization given by n = 2^x3^y5^z, where y and z are such that y + z = 5 and y^ -1 +z^ -1 = 5 6 , y...
- The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only is
- In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks...
- The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1, 2, 3, 4, 5, 7 and 9 is _____.
- The total number of functions, f : 1, 2, 3, 4 1, 2, 3, 4, 5, 6 such that f(1) + f(2) = f(3), is equal to :
- The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary....
- The total number of three-digit numbers, with one digit repeated exactly two times, is _____.
- Numbers are to be formed between 1000 and 3000, which are divisible by 4, using the digits 1, 2, 3, 4, 5 and 6 without repetition...
- The number of 5-digit natural numbers, such that the product of their digits is 36, is _____.
- There are ten boys B_ 1 , B_ 2 , ..., B_ 10 and five girls G_ 1 , G_ 2 , ..., G_ 5 in a class. Then the number of ways of forming...
- Number of integral solutions to the equation x + y + z = 21, where x 1, y 3, z 4, is equal to __________.
- The total number of six digit numbers, formed using the digits 4, 5, 9 only and divisible by 6, is __________.
- The number of words, with or without meaning, that can be formed using all the letters of word ASSASSINATION so that vowels occur...
- All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial...
- The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2 consonants, which can be formed from the...
- The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at...
- Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains...
- Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively...
- A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a...
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