Eamcet - Maths - Permutations And Combinations Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
Start Test

   Time Left : 00 : 30    : 00

The sum of all possible numbers greater than 2000 formed by using the digits 2,3,4,5 is

  

  

  

  

If 12Pr = 11P6 + 6 11P5, then r =

  

  

  

  

A gentleman invites a party of 10 guests to a dinner and places 6 of them at one table and the remaining 4 at another, the tables being around. The number of ways in which he can arrange the guests is

  

  

  

  

In an experiment of rolling 2 dice, the probability that, the dots on the second die is less than that on the first die is

  

  

  

  

A: If there are 8 points in a plane no three of which are on the same straight line except 4 points are collinear then the number of straight lines formed by joining them is 23 R: If there are n points in a plane no three of which are on the same straight lie except p points are collinear then the number of straight lines formed by joining them is nC2 – pC2 +1

  

  

  

  

The number of four digited numbers that can be formed from using the digits 2,4,5, 7,8 that are divisible by 4 is

  

  

  

  

The number of 4 digited numbers that can be formed using the digits 0,1,2,3,4 that are divisible by 4 when repetition is allowed is

  

  

  

  

The number of ways a pack of 52 cards can be divided amongst four players in 4 sets, three of them having 17 cards each and the fourth one just 1 card is

  

  

  

  

The number of 4 digited numbers that can be formed using the digits 0,1,2,3,4,5 that are divisible by 5 when repetition is allowed is

  

  

  

  

A fruit basket contains 4 oranges, 5 apples, 6 mangoes. The number of ways a person make selection of fruits from among the fruits in the basket is

  

  

  

  

The number of four digited numbers which are not divisible by 5 that can be formed from by using the digits 0,2,4,5 is

  

  

  

  

The number of 4 letters word that can be formed from using the letters of word DELHI which begin and end with an vowel when repetitions are allowed is

  

  

  

  

A set contains (2n+1) elements. The number of subsets of the set which contain most n elements is

  

  

  

  

The number of ways in which 5 red balls and 4 black balls of different sizes can be arranged in a row so that two balls of the same colour come together is

  

  

  

  

If a denotes the number of permutations of x+2 things taken all at a time, b the number of permutations of x-11 things taken all at a time such that a=182bc, then the value of x is

  

  

  

  

If a is the number of ways of selecting 3 men from 6 men, b is the number of ways of selecting 2 men, 1 woman from 4 me and 2 women and c is the number of ways of selecting 1 man, 2 women from 3 men and 3 women then the ascending of a,b,c is

  

  

  

  

Three persons A,B,C are to speak at a function along with 7 other persons.If the person speak in random order,the probability that A speaks before B and B speaks before C is

  

  

  

  

The number of ways that 12 prizes can be divided among 4 students so that each may have 3 prizes is

  

  

  

  

If nPr =30240 and nCr=252then the ordered pair (n, r) is equal to

  

  

  

  

The number of 5 digit numbers of different digits can be formed with 2 even and 3 odd digits is

  

  

  

  

The sum of divisors of 253453 is

  

  

  

  

If 20Pr : 20Pr-1 = 15 : 1 then r =

  

  

  

  

The number of ways in which 5 boys and 4 girls can sit in a row so that all the girls come together and 2 particular girls never be together is

  

  

  

  

A boats crew consists of 16 men, 6 of whom can only row on one side and 4 only on the other. The number of ways in which the crew can be arranged 8 on each side is

  

  

  

  

The number of odd numbers between 1000 and 10000 can be formed with the digits 1,2,3,4,5,6,7,8,9 is

  

  

  

  

1 /3 – 1! + 1 / 4.2! + 1 / 5.3! +………. =

  

  

  

  

The number of numbers less than 2000 that can be formed using the digits 1,2,3,4 when repetition is allowed is

  

  

  

  

S1, S2,....., S10 are the speakers in a conference. If S1 addresses only after S2, then the number of ways the speakers address is :

  

  

  

  

In how many ways can 52 cards be divided among 4 players so that each may have 13 is

  

  

  

  

The number of ways in which the following prizes be given to a class of 20 boys, first and second in Mathematics, first and second in Physics, first in Chemistry and first in English is

  

  

  

  

Note:
  • Click the 'Submit Test' button given in the bottom of this page to Submit your answers.
  • Test will be submitted automatically if the time expired.
  • Don't refresh the page.