Permutations and Combinations questions
785 published questions with worked solutions.
- The sum of all the 4-digit distinct numbers that can be formed with the digits 1,2,2 and 3 is :
- The number of times the digit 3 will be written when listing the integers from 1 to 1000 is
- There are 15 players in a cricket team, out of which 6 are bowlers, 7 are batsman and 2 are wicket keepers. The number of ways, a...
- Let A = 0, 1, 2, 3, 4, 5, 6, 7 . Then the number of bijective functions f : A A such that f(1) + f(2) = 3 – f(3) is equal to
- If the digits are not allowed to repeat in any number formed by using the digits 0, 2, 4, 6, 8, then the number of all numbers...
- The students S_1, S_2, ...., , S_ 10 are to be divided into 3 groups A, B and C such that each group has at least one student and...
- A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number...
- A dictionary is printed consisting of 7 letters words only that can be made with a letters of the word CRICKET. If the words are...
- If ^ 2n+1 P_ n-1 : ^ 2n-1 P_n=3:5, then the value of n is equal to
- The number of permutations of the letters of the word 'CONSEQUENCE' in which all the three E's are together, is
- The number of signals that can be sent using 5 flags of different colours, taking one or more at a time, is
- The sum of the digits in the unit place of all numbers formed with the help of 3,4,5,6 taken al, at a time, is
- The rank of the word MOTHER when the letters of the word are arranged alphabetically as in a dictionary, is
- If r,s,t are prime numbers and p,q are the positive integers such that LCM of p,q is r^2s^4t^2, then the number of ordered pairs...
- The number of words that can be formed out of the letters of the words 'ARTICLE' so that the vowels occupy even places, is
- If the letters of the word 'SACHIN' are arranged in all possible ways and these words are written out as in dictionary, then the...
- Assuming that no two consecutive digits are same. The number of n digit numbers is
- The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is
- If P_m stands for ^mP_m, then 1+1P_1+2P_2+3P_3+ +n P_n is equal to
- How many numbers of 6 digits can be formed from the digits of the number 112233?
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