Permutations and Combinations questions
785 published questions with worked solutions.
- There are 3 candidates for a post and one is to be selected by the votes of 7 men. The number of ways in which votes can be...
- Eleven books consisting of 5 Mathematics, 4 physics and 2 Chemistry are places on a shelf. The number of possible ways of...
- The total number of permutations of n(>1) different things taken not more than r at a time, when each thing may be repeated any...
- A total number of words which can be formed out the letters a,b,c,d,e,f taken 3 together such that each word contains at least...
- Statement 1: The number of non-negative integral solutions of x_1+x_2+x_3+ +x_n=r is ^ r+n-1 C_r. Statement 2: The number of ways...
- If eleven member of a committee sit at a round table so that the President and Secretary always sit together, then the number of...
- Statement 1: If a,b,c are positive integers such that a+b+c 8, then the number of possible values of the ordered triplets (a,b,c)...
- The number of ways in which seven persons can be arranged at a round table, if two particular persons may not sit together is
- Statement 1: The sum of the digits in the tens place of all numbers formed with the help of 2,3,4,5 taken all at a time is 84....
- The number of ordered triplets of positives integers which are solutions of the equations x+y+z=100, is
- A box contains two white balls, three black balls and four red balls. In how many ways can three balls be drawn from the box, if...
- 4 buses runs between Bhopal and Gwalior. If a man goes from Gwalior to Bhopal by a bus and comes back to Gwalior by another bus,...
- The number of group that can be made from 5 different green balls, 4 different blue balls and 3 different red balls, if at latest...
- In how many ways 3 letters can be posted in 4 letter-boxes, if all the letters are not posted in the same letter-box?
- The number of mappings (functions) from the set A= 1,2,3 into the set B= 1,2,3,4,5,6,7 such that f(i) f(j) whenever i<j, is
- Total number of n digit numbers (n>1) having the property that no two consecutive digits are same, is
- The lock of a safe consists of five discs each of which features the digits 0,1,2, ,9. The safe can be opened by dialing a...
- In an examination there are three multiple choice questions and each question has 4 choices. Number of ways in which a student...
- A person goes for an examination in which there are four papers with a maximum of m marks from each paper. The number of ways in...
- The number of arrangements of the letters of the word BANANA in which the two N's do not appear adjacently, is
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