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Basic Concepts Of Permutations And Combinations

20 Questions  I  By Sweetsalman123
Basic Concepts Of Permutations And Combinations

  
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1.  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.
2.  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.
3.  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.
4.  The Supreme Court has given a 6 to 3 decision upholding a lower court; the number of mays it can give a majority decision reversing the lower court is
A.
B.
C.
D.
5.  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.
6.  The number of ways in which 12 students can be equally divided into three groups is 
A.
B.
C.
D.
7.  The number of ways the letters of the word COMPUTER can be rearranged is
A.
B.
C.
D.
8.  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.
9.  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.
10.  If 12 school teams are participating in a quiz contest, then the number of ways the first, second and third positions may be won is
A.
B.
C.
D.
11.  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.
12.  If nP4 = 12 x nP2, then is equal to 
A.
B.
C.
D.
13.  If the letters word 'Daughter' are to be arranged so that vowels occupy the odd places, then number of different words are
A.
B.
C.
D.
14.  If . nP3: nP2 =3:1, then n is equal to
A.
B.
C.
D.
15.  7! is equal to
A.
B.
C.
D.
16.  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.
17.  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.
18.  Lf 500 C92=499C92 + nC91 then x is
A.
B.
C.
D.
19.  The ways of selecting 4 letters from the word EXAMINATION 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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