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Basic Concepts Of Permutations And Combinations

20 Questions  I  By Sweetsalman123
Basic Concepts Of Permutations And Combinations

  
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1.  The number of straight lines obtained by joining 16 points on a plane, no twice of them being on the same line is
A.
B.
C.
D.
2.  If n cr-1 = 56, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mi»n«/mi»«mi»c«/mi»«/msub»«mi»r«/mi»«/msub»«/math»= 28 and n cr+1 = 8, then r is equal to
A.
B.
C.
D.
3.  If the letters word 'Daughter' are to be arranged so that vowels occupy the odd places, then number of different words are
A.
B.
C.
D.
4.  The number of even numbers greater than 300 can be formed with the digits 1, 2, 3, 4, 5  without repetion is
A.
B.
C.
D.
5.  The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is
A.
B.
C.
D.
6.  There are 5 speakers A,B,C,D,E.The number of ways in which A will speak always before B is Options:  A.24 B.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»4«/mn»«mo»!«/mo»«mo»§#215;«/mo»«mn»2«/mn»«mo»!«/mo»«/math» C.5! D.None of these
A.
B.
C.
D.
7.  The number of words that can be made by rearranging the letters of the word APURNA so that vowels and consonants appear alternate is
A.
B.
C.
D.
8.  The number of ways in which the letters of the word MOBILE be arranged so that consonants always occupy the odd places is
A.
B.
C.
D.
9.  The results of 8 matches (Win, Loss or Draw) are to be predicted. The number of differe forecasts containing exactly 6 correct results is
A.
B.
C.
D.
10.  The sum of all 4 digit number containing the digits 2, 4, 6, 8, without repetitions is
A.
B.
C.
D.
11.  The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat always goes to be younger assuming that each one of then gets a sweat is
A.
B.
C.
D.
12.  If «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mn»28«/mn»«mi»c«/mi»«/msub»«mrow»«mn»2«/mn»«mi»r«/mi»«mo»§nbsp;«/mo»«/mrow»«/msub»«mo»:«/mo»«msub»«mn»24«/mn»«msub»«mi»c«/mi»«mrow»«mn»2«/mn»«mi»r«/mi»«mo»-«/mo»«mn»4«/mn»«/mrow»«/msub»«/msub»«mo»§nbsp;«/mo»«mo»=«/mo»«mn»225«/mn»«mo»:«/mo»«mn»11«/mn»«/math» then the value of r is
A.
B.
C.
D.
13.  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»n«/mi»«msub»«mi»C«/mi»«mn»1«/mn»«/msub»«/msub»«mo»+«/mo»«msub»«mi»n«/mi»«msub»«mi»c«/mi»«mn»2«/mn»«/msub»«/msub»«mo»+«/mo»«msub»«mi»n«/mi»«msub»«mi»c«/mi»«mn»3«/mn»«/msub»«/msub»«mo»+«/mo»«msub»«mi»n«/mi»«msub»«mi»c«/mi»«mn»4«/mn»«/msub»«/msub»«mo»+«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo»+«/mo»«mi»e«/mi»«mi»q«/mi»«mi»u«/mi»«mi»a«/mi»«mi»l«/mi»«mi»s«/mi»«/math» Options: A.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mi»n«/mi»«/msup»«mo»-«/mo»«mn»1«/mn»«/math» B.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mi»n«/mi»«/msup»«/math» C.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mi»n«/mi»«/msup»«mo»+«/mo»«mn»1«/mn»«/math» D.None of these
A.
B.
C.
D.
14.  The number of ways in which a person can chose one or more of the four electa appliances : T.V, Refrigerator, Washing Machine and a cooler is
A.
B.
C.
D.
15.  If n1+n2 P2 = 132, n1-n2P2 = 30 then,  
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B.
C.
D.
16.  The number of permutations of 10 different things taken 4 at a time in which one particular thing never occurs is
A.
B.
C.
D.
17.  The number of diagonals in a decagon is 
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B.
C.
D.
18.  In a group of boys the number of arrangement of 4 boys is 12 times the number of arrangements of 2 boys.The number boys in the group is
A.
B.
C.
D.
19.  In nPr ,n is always 
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B.
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D.
20.  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»n«/mi»«mo»-«/mo»«mn»1«/mn»«mo»)«/mo»«msub»«mi»P«/mi»«mi»r«/mi»«/msub»«mo»§nbsp;«/mo»«mo»+«/mo»«mi»r«/mi»«mo».«/mo»«/math»«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»n«/mi»«mo»-«/mo»«mn»1«/mn»«mo»)«/mo»«msub»«mi»P«/mi»«mrow»«mo»(«/mo»«mi»r«/mi»«mo»-«/mo»«mn»1«/mn»«mo»)«/mo»«/mrow»«/msub»«/math» is equal to Options: A.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mi»n«/mi»«mi»c«/mi»«/msub»«mi»r«/mi»«/msub»«/math» B.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»n«/mi»«mo»!«/mo»«/mrow»«mrow»«mo»(«/mo»«mi»r«/mi»«mo»!«/mo»«mo»(«/mo»«mi»n«/mi»«mo»-«/mo»«mi»r«/mi»«mo»)«/mo»«mo»!«/mo»«mo»)«/mo»«/mrow»«/mfrac»«/math» C.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mi»n«/mi»«mi»p«/mi»«/msub»«mi»r«/mi»«/msub»«/math» D.None of these
A.
B.
C.
D.
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