Permutations and Combinations questions
785 published questions with worked solutions.
- In how many ways n books can be arranged in a row so that two specified books are not together?
- If 2 9! + 2 3! ,7! + 1 5! ,5! = 2^a b! , where a,b N, then the ordered pair (a,b) is
- An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers are to be formed using only...
- Sum of all the odd divisors of 720 is
- The number of divisors of 9600 including 1 and 9600 are
- If a,b,c,d,e are prime integers, then the number of divisors of ab^2c^2de excluding 1 as a factor is
- How many words can be formed from the letters of the word ARTICLE, if vowels always comes at the odd places?
- We are to form different words with the letters of the word INTEGER. Let m_1 be the number of words in which I and N are never...
- If the total number of m elements subsets of the set A= a_1,a_2,a_3, a_n is times the number of 3 elements subsets containing...
- A five digit number divisible by 3 is to be formed using the numbers 0,1,2,3,4 and 5, without repetition. The total number of...
- The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel...
- Let f: 1,2,3,4,5 1,2,3,4,5 that are onto and f(x) i is equal to
- The number of ways of dividing 52 cards amongst four players so that three players have 17 cards each and the fourth player just...
- How many numbers consisting of 5 digits can be formed in which the digits 3,4 and 7 are used only once and the digit 5 is used...
- The products of any r consecutive natural numbers is always divisible by
- Statement 1: The number of different car licence plates that can be constructed if the licences contain three letters of the...
- Sixteen men compete with one another in running swimming and riding. How many prize lists could be made if there were altogether...
- If N is the number of positive integral solution of x_1x_2x_3x_4=770, then the value of N is
- These are 12 volleyball players in a college, out of which a team of 9 players is to be formed. If the captain always remains the...
- A person is permitted to select at least one and at most n coins from a collection of 2n+1 (distinct) coins. If the total number...
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