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Basic Concepts Of Permutations And Combinations

20 Questions  I  By Sweetsalman123
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Basic Concepts Of Permutations And Combinations

  
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1.  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.
2.  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.
3.  5 persons are sitting in a round table in such way that Tallest Person is always on the right- side of the shortest person; the number of such arrangements is
A.
B.
C.
D.
4.  The number of different factors the number 75600 has is
A.
B.
C.
D.
5.  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.
6.   In  nPr =n (n-1) (n-2) ........................ (n-r-1), the number of factor is  
A.
B.
C.
D.
7.  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.
8.  m+nP2 = 56, m-nP2 = 30 then
A.
B.
C.
D.
9.  Lf 500 C92=499C92 + nC91 then x is
A.
B.
C.
D.
10.  The number of arrangements in which the letters of the word MONDAY be arranged so that the words thus formed begin with M and do not end with N is
A.
B.
C.
D.
11.  If 50 different jewels can be set to form a necklace then the number of ways is Options: A.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mn»50«/mn»«mo»!«/mo»«/math» B.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mn»49«/mn»«mo»!«/mo»«/math» C.49! D.None of these
A.
B.
C.
D.
12.  0! is a symbol equal to
A.
B.
C.
D.
13.  5 letters are written and there are five letter-boxes. The number of ways the letters can be dropped into the boxes, are in each
A.
B.
C.
D.
14.  Five bulbs of which three are defective are to be tried in two bulb points in a dark room. Number of trials the room shall be lighted is
A.
B.
C.
D.
15.  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.
16.  At an election there are 5 candidates and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote is
A.
B.
C.
D.
17.  In nPr ,n is always 
A.
B.
C.
D.
18.  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.
19.  Out of 7 gents and 4 ladies a committee of 5 is to be formed.The number of committees such that each committee includes at least one lady is
A.
B.
C.
D.
20.  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.
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