Permutations and Combinations questions
785 published questions with worked solutions.
- Consider the following statement: 1. The number of ways of arranging m different things taken all at a time in which p m...
- If a denotes the number of permutations of x+2 things taken all at a time, b the number of permutations of x things taken 11 at a...
- Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of...
- In how many ways can 4 prizes be distributed among 3 students, if each students can get all the 4 prizes?
- In a conference of 8 persons, if each person shake hand with the other one only, then the total number of shake hands shall be
- A committee of 12 is to be formed from 9 women and 8 men in which at least 5 women have to be included in a committee. Then the...
- How many different non-digit numbers can be formed from the digits of the number 223355888 by rearrangement of the digits so that...
- Ten persons, amongst whom are A,B and C to speak at a function. The number of ways in which it can be done, if A wants to speak...
- The number of ways in which 20 one rupee coins can be distributed among 5 people such that each person, gets at least 3 rupees, is
- The number of 5 digits telephone number having at least one of its digits repeated, is
- Statement 1: Product of five consecutive natural numbers is divisible by 4!. Statement 2: Product of n consecutive natural...
- A man has 7 friends. In how many ways he can invite one or more of them for a tea party?
- How many numbers divisible by 5 and lying between 3000 and 4000 that can be formed from the digits 1,2,3,4,5,6 (repetition of...
- If ^8C_r- ^7C_3= ^7C_2, then r is equal to
- How many words can be made from the letters of the word DELHI, if L comes in the middle of every word?
- If a,b,c N, the number of points having position vector a i+b j+c k such that 6 a+b+c 10, is
- m men and n women are to be seated in a row so that no two women sit together. If m>n, then the number of ways in which they can...
- In how many ways can Rs 16 be divided into 4 persons when none of them get less than Rs 3?
- Consider the following statements: 1. The product of r consecutive natural numbers is always divisible by r. 2. The total number...
- There are four balls of different colours and four boxes of colours same as those of the balls. The number of ways in which the...
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