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Basic Concepts Of Permutations And Combinations

20 Questions  I  By Sweetsalman123
math xmlns=http://www.w3.org/1998/Math/MathMLmsubmn4/mnmsubmi mathvariant=boldP/mimn3/mn/msub/msub/math

  
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1.  A committee of 3 ladies and 4 gents is to be formed out of 8 ladies and 7 gents. Mrs. X refuses to serve in a committee in which Mr. Y is a member. The number of such committees is
A.
B.
C.
D.
2.  Every two persons shakes hands with each other in a party and the total number of hand shakes is 66. The number of guests in the party is
A.
B.
C.
D.
3.  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.
4.  If 18C = 18C+2, the value of rC5 is
A.
B.
C.
D.
5.  The number of ways in which 15 mangoes can be equally divided among 3 students is Options: A.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»15«/mn»«mo»!«/mo»«/mrow»«mrow»«mo»(«/mo»«mn»5«/mn»«msup»«mo»)«/mo»«mn»4«/mn»«/msup»«mo»!«/mo»«/mrow»«/mfrac»«/math» B.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»15«/mn»«mo»!«/mo»«/mrow»«mrow»«mo»(«/mo»«mn»5«/mn»«msup»«mo»)«/mo»«mn»3«/mn»«/msup»«mo»!«/mo»«/mrow»«/mfrac»«/math» C.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»15«/mn»«mo»!«/mo»«/mrow»«mrow»«mo»(«/mo»«mn»5«/mn»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»!«/mo»«/mrow»«/mfrac»«/math» D.None of these
A.
B.
C.
D.
6.  A candidate is required to answer 6 out of 12 questions which are divided into two groupsl containing 6 questions in each group. He is not permitted to attempt not more than four from any group. The number of choices are
A.
B.
C.
D.
7.  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.
8.  There are 12 points in a plane of which 5 are collinear. The number of triangles is
A.
B.
C.
D.
9.  The number of ways in which 7 girls form a ring is
A.
B.
C.
D.
10.  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.
11.  4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then number of such numbers is
A.
B.
C.
D.
12.  The number of different words that can be formed with 12 consonants and 5 vowels by taking 4 consonants and 3 vowels in each word is Options: A.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mn»12«/mn»«mi»c«/mi»«/msub»«mn»4«/mn»«/msub»«mo»§#215;«/mo»«msub»«mn»5«/mn»«msub»«mi»c«/mi»«mn»3«/mn»«/msub»«/msub»«/math» B.«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«msub»«mn»17«/mn»«mi»c«/mi»«/msub»«mn»7«/mn»«/msub»«/math» C.4950«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#215;«/mo»«/math»(7)! D.None of these
A.
B.
C.
D.
13.  «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.
14.  «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.
15.  If . nP3: nP2 =3:1, then n is equal to
A.
B.
C.
D.
16.  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.
17.  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.
18.  8 points are marked on the circumference of a circle. The number of chords obtained by joining these in pairs is
A.
B.
C.
D.
19.  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.
20.  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.
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