Permutations and Combinations questions
785 published questions with worked solutions.
- The number of seven digits odd numbers, that can be formed using all the seven digits 1,2,2,2,3,3,5 is
- If all the six digit numbers x_1x_2x_3x_4x_5x_6 with 0<x_1<x_2<x_3<x_4<x_5<x_6 are arranged in the increasing order, then the sum...
- Five digit numbers are formed using the digits 1,2,3,5,7 with repetitions and are written in descending order with serial...
- Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges. If in the...
- The total number of six digit numbers, formed using the digits 4,5,9 only and divisible by 6, is
- Number of integral solutions to the equation x+y+z=21, where x 1, y 3, z 4, is equal to
- Number of 4-digit numbers (the repetition of digits is allowed) which are made using the digits 1,2,3 and 5, and are divisible by...
- The total number of 4-digit numbers whose greatest common divisor with 54 is 2, is
- The largest natural number x such that 3^x divides 66! is
- The number of divisors of 3 7^3, 7 11^2 and 2 61 are in
- The sum of all natural numbers n such that 100<n<200 and H.C.F. (91,n)>1 is
- If ^1P_1+2 ^2P_2+3 ^3P_3+ +15 ^ 15 P_ 15 = ^4P_r-s,
- Let n be a non-negative integer. Then the number of divisors of the form "4n + 1" of the number (10)^ 10 .(11)^ 11 .(13)^ 13 is...
- A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome....
- The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the...
- Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y denote the total...
- The total number of positive integral solutions (x, y, z) such that xyz = 24 is :
- The total number of numbers, lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, if the repetition of...
- There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If the number of ways, in which 10 students...
- If ^1P_1+2.^2P_2+3.^3P_3+ +15 ^ 15 P_ 15 =^qP_r-s, 0 s 1, then ^ q+s C_ r-s is equal to _________.
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