Basic Concepts Of Permutations And Combinations

20 Questions  I  By Sweetsalman123 on March 20, 2012
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1.  The number of different factors the number 75600 has is
A.
B.
C.
D.
2.  The total number of 9 digits numbers of different digits is
A.
B.
C.
D.
3.  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.
4.  If  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mi»n«/mi»«mi»p«/mi»«/msub»«mrow»«mi»r«/mi»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«/mrow»«/msub»«/math»=336 and «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mi»n«/mi»«mi»c«/mi»«/msub»«mi»r«/mi»«/msub»«/math»=56,then n and r  will be
A.
B.
C.
D.
5.  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.
6.  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.
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.  Lf 500 C92=499C92 + nC91 then x is
A.
B.
C.
D.
9.  The number of ways in which the letters of the word DOGMATIC can be arranged is
A.
B.
C.
D.
10.  3 ladies and 3 gents can be seated at a round table so that any two and only two of the ladies sit together. The number of ways is
A.
B.
C.
D.
11.  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.
12.  The number of diagonals in a decagon is 
A.
B.
C.
D.
13.  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.
14.  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.
15.  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.
16.  The letters of the words CALCUTTA and AMERICA are arranged in all possible ways. The ratio of the number of there arrangements is
A.
B.
C.
D.
17.  Mr. X and Mr. Y enter into a railway compartment having six vacant seats. The number of ways in which they can occupy the seats is
A.
B.
C.
D.
18.  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.
19.  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mn»2«/mn»«mi»n«/mi»«mo»)«/mo»«mo»!«/mo»«/math» can be written as Options: A.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mi»n«/mi»«/msup»«mo»{«/mo»«mn»1«/mn»«mo».«/mo»«mn»3«/mn»«mo».«/mo»«mn»5«/mn»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo»(«/mo»«mn»2«/mn»«mi»n«/mi»«mo»-«/mo»«mn»1«/mn»«mo»)«/mo»«mo»}«/mo»«mi»n«/mi»«mo»!«/mo»«/math» B.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»2«/mn»«mi»n«/mi»«/msup»«mi»n«/mi»«mo»!«/mo»«/math» C.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»{«/mo»«mn»1«/mn»«mo».«/mo»«mn»3«/mn»«mo».«/mo»«mn»5«/mn»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo».«/mo»«mo»(«/mo»«mn»2«/mn»«mi»n«/mi»«mo»-«/mo»«mn»1«/mn»«mo»)«/mo»«mo»}«/mo»«/math» D.None of these
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B.
C.
D.
20.  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.
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