Permutations and Combinations questions
785 published questions with worked solutions.
- A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest digit is...
- The number of integers, greater than 7000 that can be formed, using the digits 3, 5, 6, 7, 8 without repetition, is
- The number of 9 digit numbers, that can be formed using all the digits of the number 123412341 so that the even digits occupy...
- A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at...
- The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1, 3, 5, 7, 9 without repetition, is
- Let f(x)= 2x^n+ , R, n N and f(4) = 133, f(5) = 255. Then the sum of all the positive integer divisors of (f(3) – f(2)) is
- Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges. If in the...
- The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a series. Then...
- the total number of 4-digit numbers whose greatest common divisor with 54 is 2, is _______.
- Fifteen football players of a club-team are given 15 T-shirts with their names written on the backside. If the players pick up...
- Five digit numbers are formed using the digits 1, 2, 3, 5, 7 with repetitions and are written in descending order with serial...
- The number of seven digits odd numbers, that can be formed using all the seven digits 1, 2, 2, 2, 3, 3, 5 is________.
- Number of 4-digit numbers (the repetition of digits is allowed) which are made using the digits 1, 2, 3 and 5, and are divisible...
- Let A = [a_ ij ], a_ ij Z [0,4], 1 , j 2. The number of matrices A such that the sum of all entries is a prime number p (2,13)...
- Let 5 digit numbers be constructed using the digits 0, 2, 3, 4, 7, 9 with repetition allowed, and are arranged in ascending order...
- The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English...
- 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
- Let S be the set of all seven-digit numbers that can be formed using the digits 0, 1 and 2. For example, 2210222 is in S, but...
- Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 (using repetition allowed) are
- Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4, 6 and 7 without repetition. Total number of such numbers are
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