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P & C Prac IV
Q1. Find the number of ways of putting five distinct rings on four fingers of the left hand.(Ignore the difference of sizes of rings and fingers) Q2. There are 5 different Maths books, 4 different Physics books and 3 different Chemistry books. The number of ways in which at least one book can be given away is Q3.In CAT examination paper there are 3 sections containing 5 questions. A candidate has to solve 5, choosing at least one from each section. The number of ways he can choose is Q4.Ten books are arranged in a row on a shelf. In how many ways can 3 books be selected simultaneously from the shelf such that no two adjacent books from the shelf are chosen? Q5.Five balls of different colors are to be placed in three boxes of different sizes. Each box can hold all the five balls. The number of ways in which we can place the balls in the boxes so that no box remains empty is : Q6.A bag contains 80 envelopes of which 30 are airmail and the rest are ordinary. Out of the 80 envelopes in the bag, 48 are stamped and the rest are unstamped. There are 20 unstamped ordinary envelopes in the bag. If one envelope is chosen at random from the bag, then the probability that this is an unstamped airmail envelope is Q7. Nargis has 8 children and she takes 3 at a time to children’s park often as she can without taking the same 3 children together more than once. The number of times she will go to the park is: Q8.In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?
Submitted by timeZtime on Thu, 2008-05-15 22:02.
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commented on: Fri, 2008-05-16 08:57
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ans
Q2. There are 5 different Maths books, 4 different Physics books and 3 different Chemistry books. The number of ways in which at least one book can be given away is
a. (2^5 – 1)(2^4 –1)(2^3 –1)
b. 2^12
c. 2^12 –1
d. None of these
ans is (c)
Little Star
commented on: Fri, 2008-05-16 08:57
jigar_er_civil points: 792
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Comments : 385
Q3.In CAT examination paper
Q3.In CAT examination paper there are 3 sections containing 5 questions. A candidate has to solve 5, choosing at least one from each section. The number of ways he can choose is
a. 2,500
b. 2,250
c. 2,750
d. 3,250
ans is 2250
Little Star
commented on: Fri, 2008-05-16 08:58
jigar_er_civil points: 792
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Comments : 385
Q4.Ten books are arranged in
Q4.Ten books are arranged in a row on a shelf. In how many ways can 3 books be selected simultaneously from the shelf such that no two adjacent books from the shelf are chosen?
a. 36
b. 48
c. 42
d. 56
e. 84
ans is 56
Little Star
commented on: Fri, 2008-05-16 08:59
jigar_er_civil points: 792
Location:
Comments : 385
Q5.Five balls of different
Q5.Five balls of different colors are to be placed in three boxes of different sizes. Each box can hold all the five balls. The number of ways in which we can place the balls in the boxes so that no box remains empty is :
a. 30
b. 150
c. 600
d. 900
ans is 150
Little Star
commented on: Fri, 2008-05-16 08:59
jigar_er_civil points: 792
Location:
Comments : 385
Q6.A bag contains 80
Q6.A bag contains 80 envelopes of which 30 are airmail and the rest are ordinary. Out of the 80 envelopes in the bag, 48 are stamped and the rest are unstamped. There are 20 unstamped ordinary envelopes in the bag. If one envelope is chosen at random from the bag, then the probability that this is an unstamped airmail envelope is
a. 12/80
b. 18/80
c. 2080
d. 3080
ans is 12/80
Little STar
commented on: Fri, 2008-05-16 09:00
jigar_er_civil points: 792
Location:
Comments : 385
Q7. Nargis has 8 children
Q7. Nargis has 8 children and she takes 3 at a time to children’s park often as she can without taking the same 3 children together more than once. The number of times she will go to the park is:
a. 56
b. 14
c. 28
d. 76
ans is 56
Little star