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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.  Lf 500 C92=499C92 + nC91 then x is
A.
B.
C.
D.
2.  The number of diagonals in a decagon is 
A.
B.
C.
D.
3.  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.
4.  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.
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.  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.
7.  The number of ways in which 8 different beads be strung on a necklace is
A.
B.
C.
D.
8.  The sum of all 4 digit number containing the digits 2, 4, 6, 8, without repetitions is
A.
B.
C.
D.
9.  The number of ways in which 12 students can be equally divided into three groups is 
A.
B.
C.
D.
10.  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.
11.  The number of numbers lying between 100 and 1000 can be formed with the digits 1,2,3, 4, 5, 6, 7 is
A.
B.
C.
D.
12.  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.
13.  The number of ways in which 9 things can be divided into twice groups containing 2, 3, and 4 things respectively is
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.  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.
16.  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.
17.  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.
18.  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.
19.  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.
20.  The number of 4 digit numbers greater than 5000 can be formed out of the digits 3, 4, 5, 6 and 7 (no. digit is repeated). The number of such is
A.
B.
C.
D.
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