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.
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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

  

  

  

  

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 balls, one each in a box could be placed such that a ball does not go to a box of its own colour 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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The number of ways in which 7 distinct boys can be distributed among 3 children when each child is eligible to take all the toys is

  

  

  

  

In how many ways can a collection of 30 books be divided into two groups of 10 and 20 so that the first group always contains a particular book?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The number of 5 digit numbers of different digits can be formed with 2 even and 3 odd digits 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 sum of all possible numbers greater than 2000 formed by using the digits 2,3,4,5 is

  

  

  

  

Two dice are rolled simultaneously. The probability of getting an even number and an odd number is

  

  

  

  

A student is allowed to select atmost n books from a collection of (2n+1) books. If the total number of ways in which he can select books is 63, then n=

  

  

  

  

The probability that in a family of 4 children there will be at least one boy is

  

  

  

  

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

  

  

  

  

A railway carriage can seat 5 each side.The number of ways a party of 4 girls and 6 boys can seat themselves so that the girls may always have the corner seats is

  

  

  

  

If (n+1)P5:nP6= 2: 7 then n =

  

  

  

  

(i): If 12Cr+1=12C3r-5, then r=3 or 4 (ii): 9C3+9C5=10Cr, then r=4 or 6

  

  

  

  

The sum of numbers formed by talking all the digits 2,4,6,8 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

  

  

  

  

The sum of divisors of 253453 is

  

  

  

  

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangements 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 3 letter words formed that containing atleast one vowel from the letters a,b,c,d,e,f is

  

  

  

  

The number of numbers greater than 1000 but not greater than 4000 that can be formed with the digits 0,1,2,3,4 repetition of digits being allowed is

  

  

  

  

There are 12 boys to be seated on 2 benches, 6 on each bench. Two of them desire to sit on one bench and two others on the other. The number of ways in which the boys can be seated on the two benches is

  

  

  

  

The number of positive divisors of 253673 is

  

  

  

  

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