Permutations and Combinations questions
785 published questions with worked solutions.
- The number of all possible selections of one or more questions from 10 given questions, each question having an alternative is
- If eight persons are to address a meeting, then the number of ways in which a specified speaker is to speak before another...
- The number of integers which lie between 1 and 10^6 and which have the sum of the digits equal to 12, is
- How many different committees of 5 can be formed from 6 men and 4 women on which exact 3 men and 2 women serve?
- The number of ways in which four letters can be selected from the word degree is
- The sides AB, BC, CA of a triangle ABC have 3, 4 and 5 interior points respectively on them. The total number of triangles that...
- The number of 4-digit even numbers that can be formed using 0,1,2,3,4,5,6 without repetition is
- There are 10 points in a plane, out of these 6 are collinear. The number of triangles formed by joining these points is
- A parallelogram is cut by two sets of m lines parallel to its sides. The number of parallelograms thus formed is
- A shopkeeper sells three varieties of perfumes and he has a large number of bottles of the same size of each variety in his...
- The number of ways in which 12 balls can be divided between two friends, one receiving 8 and the other 4, is
- There are 18 points in a plane such that no three of them are in the same line except five points which are collinear. The number...
- The number of ways in which m+n (n m+1) different things can be arranged in a row such that no two of the n things may be...
- All possible four-digit numbers are formed using the digits 0,1,2,3 so that no number has repeated digits. The number of even...
- The number of ways in which 52 cards can be divided into 4 sets, three of them having 17 cards each and the fourth one having...
- A lady gives a dinner party to 5 guests to be selected from nine friends. The number of ways of forming the party of 5, given...
- The total numbers of greater than 100 and divisible by 5, that can be formed from the digits 3,4,5,6 if no digit is repeated is
- The number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between two boys is
- Sita has 5 coins each of the different denomination. The number different sums of money she can form is
- The letters of the word RANDOM are written in all possible orders and these words are written out as in a dictionary, then the...
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