Test:- Permutations And Combinations - 2 - Mathematics

 The sum of the digits in the digits unit place of all the numbers formed with the help of 3,4,5,6 taken all at a time is :

If ⁿC_n-1 =  36; ⁿC_r = 84 and ⁿC_r+1 = 126, then r is equal to:

If ⁿP_r= ⁿP_r+1 and ⁿC_r= ⁿC_r-1 then (n,r) are

If ²⁸C_r : ²⁴C_n+4 = 225 : 11, then

If ⁿC_r + ⁿC_r+1 = ⁿ⁺³C_x, then x =

The total number of arrangement that can be made out of the letter of the word RAMANEA is:

If ^n-1c₃ / ^n-1c₄ > ⁿc₃, then the least value of n is:

If the letter of the word BROTHER are written in all possible order and these word are written out as in a dictionary, then the rank of the word BROTHER is:

The rank of the word ‘RAMANEA’ in the dictionary made by the letters of this word is:

 The sum of the numbers formed by the digit 1,3,5 and 7 taking all at a time is:

 Let A be a set containing 10 distinct elements, Then the total number of distinct function from A to A 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 illuminated is :

Out of 16 players of cricket team, 4 are bowlers and 2 are wicket keepers. A team of 11 players is to be chosen so as to contain at least 3 bowlers and at least one wicket keeper. The number of ways in which the team be selected is :

Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to :

The total number of 9 digits number which have all different digits is :

The number of different number of six digits each (without repetition of digit) can be formed from the digits 4,5,6.7,8,9 such that they are not divisible by 5 is :

A polygon has 54 diagonals, then the number of its sides arc :