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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.  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mn»51«/mn»«mi»c«/mi»«/msub»«mn»31«/mn»«/msub»«/math» is equal to Options: A.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mn»51«/mn»«mi»c«/mi»«/msub»«mn»20«/mn»«/msub»«/math» B.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mo».«/mo»«msub»«msub»«mn»50«/mn»«mi»c«/mi»«/msub»«mn»20«/mn»«/msub»«/math» C.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mo».«/mo»«msub»«msub»«mn»45«/mn»«mi»c«/mi»«/msub»«mn»15«/mn»«/msub»«/math» D.None of these
A.
B.
C.
D.
2.  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.
3.  The total number of ways in which six 't' and four '-' signs can be arranged in a line such that no two '-' signs occur together is Options: A.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»7«/mn»«mo»!«/mo»«/mrow»«mrow»«mn»3«/mn»«mo»!«/mo»«/mrow»«/mfrac»«/math» B.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»6«/mn»«mo»!«/mo»«mo»§#215;«/mo»«mfrac»«mrow»«mn»7«/mn»«mo»!«/mo»«/mrow»«mrow»«mn»3«/mn»«mo»!«/mo»«/mrow»«/mfrac»«/math» C.35 D.None of these
A.
B.
C.
D.
4.  The number of arrangements of 10 different things taken 4 at a time in which one particular thing always occurs is
A.
B.
C.
D.
5.  The value of «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mn»12«/mn»«mi»c«/mi»«/msub»«mn»4«/mn»«/msub»«mo»+«/mo»«msub»«mn»12«/mn»«msub»«mi»c«/mi»«mn»3«/mn»«/msub»«/msub»«/math»
A.
B.
C.
D.
6.  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.
7.  The number of ways the letters of the word "Triangle" to be arranged so that the word 'angle' will be always present is
A.
B.
C.
D.
8.  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.
9.  A question paper contains 6 questions, each having an alternative.The number of ways an examine can answer one or more questions is
A.
B.
C.
D.
10.  If nc10 = nc14, then «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mn»25«/mn»«mi»c«/mi»«/msub»«mi»n«/mi»«/msub»«/math» is
A.
B.
C.
D.
11.  Eight guests have to be seated 4 on each side of a long rectangular table. 2 particular guests desire to sit on one side of the table and 3 on the other side. The number of ways in which the sitting arrangements can be made is
A.
B.
C.
D.
12.  In nPr ,n is always 
A.
B.
C.
D.
13.  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.
14.  The number of different factors the number 75600 has is
A.
B.
C.
D.
15.  The number of ways a person can contribute to a fund out of 1 ten-rupee note, 1 five- rupee note, 1 two-rupee and 1 one rupee note is
A.
B.
C.
D.
16.  In nPr, the restriction is  Options: A.n > r B.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»n«/mi»«mo»§#10878;«/mo»«mi»r«/mi»«/math» C.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»n«/mi»«mo»§#10877;«/mo»«mi»r«/mi»«/math» D. None of these
A.
B.
C.
D.
17.  The number of arrangements of the letters in the word FAILURE, so that vowels are always! coming together is
A.
B.
C.
D.
18.  The sum of all 4 digit number containing the digits 2, 4, 6, 8, without repetitions is
A.
B.
C.
D.
19.  The number of numbers lying between 10 and 1000 can be formed with the digits 2,3,4,0,8,9 is
A.
B.
C.
D.
20.  0! is a symbol equal to
A.
B.
C.
D.
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