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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 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.
2.  m+nP2 = 56, m-nP2 = 30 then
A.
B.
C.
D.
3.  The number of ways in which the letters of the word DOGMATIC can be arranged is
A.
B.
C.
D.
4.  Lf 500 C92=499C92 + nC91 then x is
A.
B.
C.
D.
5.  The sum of all 4 digit number containing the digits 2, 4, 6, 8, without repetitions is
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.  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.
8.  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.
9.  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.
10.  There are 12 points in a plane of which 5 are collinear. The number of triangles is
A.
B.
C.
D.
11.  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.
12.  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.
13.  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.
14.   If 5Pr= 60, then the value of r is
A.
B.
C.
D.
15.  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.
16.  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.
17.  The number of 4 digit numbers formed with the digits 1, 1, 2, 2, 3, 4 is
A.
B.
C.
D.
18.  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.
19.  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.
20.  7! is equal to
A.
B.
C.
D.
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