Permutations and Combinations questions
785 published questions with worked solutions.
- In a cricket championship there are 36 matches. The number of terms, if each plays 1 match with other are
- From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on the...
- If m= ^nC_2, then ^mC_2 is equal to
- The set S= 1,2,3, ,12 is to be partitioned into three sets A,B,C of equal size. Thus, A B C=S and A B=B C=A C= . The number of...
- Out of 6 boys and 4 girls, a group of 7 is to be formed. In how many ways can this be done, if the group is to have a majority of...
- There are 5 letters and 5 different envelopes. The number of ways in which all the letters can be put in wrong envelope, is
- The number of four-letter words that can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN...
- A lady given a dinner party for six guest. The number of ways in which they may be selected from among ten friends, if two of the...
- In a Mathematics paper there are three sections containing 4, 5 and 6 questions respectively. From each section 3 questions are...
- The number of ways in which a committee can be formed of 5 members from 6 men and 4 women if the committee has at least one...
- There are n different books and m copies of each in a college library. The number of ways in which a student can make a selection...
- The number of ways in which one can select three distinct integers between 1 and 30, both inclusive, whose sum is even, is
- In a shop there are five types of ice-creams available. A child buys six ice-creams Statement 1: The number of different ways the...
- How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?
- A student is allowed to select at most n books from a collection of (2n+1) books. If the total number of ways in which he can...
- If P(n,r)=1680 and C(n,r)=70, then 69n+r! is equal to
- Four dice are rolled. The number of possible outcomes in which at least one dice shows 2 is
- p points are chosen on each of the three coplanar lines. The maximum number of triangles formed with vertices at these points is
- There are 10 lamps in a hall. Each one of them can be switched on independently. The number of ways in which the hall can be...
- The number of times the digit 5 will be written when listing the integers from 1 to 1000, is
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