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 letters of word VICTORY are permuted in all possible ways and the words thus formed are arranged as in a dictionary.The rank of the word VICTORY is

  

  

  

  

Out of 7 consonants and 5 vowels how many different words can be formed each consisting of 3 consonants and 2 vowels?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The number of 3 letter words formed that containing atleast one vowel from the letters a,b,c,d,e,f 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

  

  

  

  

An n-digit number is a positive number with exactly n digits. Nine hundred distinct n-digit numbers are to be formed using only three digits 2,5 and 7. The smallest value of n for which this is possible 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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The sum of divisors of 253453 is

  

  

  

  

There are 3 routes from Tenali to Vijaywada and 4 routes from Vijaywada to Hyderabad,in how many different ways a person can travel from Tenali to Hyderabad via Vijaywada?

  

  

  

  

The number of even divisors of 1600 is

  

  

  

  

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

  

  

  

  

If a,b,c are the number of 4 digited numbers that can be formed using the digits 2,4,5,7,8 that are divisible by 3,4,5 respectively then the ascending order of a,b,c is

  

  

  

  

The number of numbers between 1 and 1010 which contain the digit 1 is

  

  

  

  

A boat is to be manned by 9 crew with 4 on the stroke side, 4 on the row side and one to steer. There are 11 crew of which 2 can stroke only, 1 can row only while 3 can steer only. In how many ways the crew can be arranged for the boat?

  

  

  

  

S1, S2,....., S10 are the speakers in a conference. If S1 addresses only after S2, then the number of ways the speakers address 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 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 that 12 prizes can be divided among 4 students so that each may have 3 prizes is

  

  

  

  

If (m+n)P2 = 90, (m-n)P2 = 30 then (m,n) =

  

  

  

  

The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 but using each digit not more than once in each number is…….. The number of these integers that are greater than 3000 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?

  

  

  

  

1/n!+1/(n+1)!1/(n+2)! =

  

  

  

  

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

  

  

  

  

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

  

  

  

  

A double decked bus can accommodate 100 passengers, 40 in the upper deck and 60 in the lower deck. In how many ways can a group of 100 passengers be accommodated if 15 refuse to sit in the lower deck and 20 refuse to sit in the upper deck?

  

  

  

  

The number of four digited even numbers that can be formed from the digits 0,1,2,5,7,8 is

  

  

  

  

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