Basic Concepts Of Permutations And Combinations

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Basic Concepts Of Permutations And Combinations

  
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1. 
If nc10 = nc14, then is
A.
B.
C.
D.
2.   In  nPr =n (n-1) (n-2) ........................ (n-r-1), the number of factor is  
A.
B.
C.
D.
3.  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.
4.  m+nP2 = 56, m-nP2 = 30 then
A.
B.
C.
D.
5. 
 is equal to Options: A. B. C. D.None of these
A.
B.
C.
D.
6.  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.
7. 
 nPr can also written as Options: A. B. C. D.None of these
A.
B.
C.
D.
8.  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.
9.  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.
10. 
Options: A. B. C. D.None of these
A.
B.
C.
D.
11.  10 examination papers are arranged in such a way that the best and worst papers never come together. The number of arrangements is
A.
B.
C.
D.
12.  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.
13.  The number of 4 digit numbers formed with the digits 1, 1, 2, 2, 3, 4 is
A.
B.
C.
D.
14.  0! is a symbol equal to
A.
B.
C.
D.
15.  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.
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.  The number of ways in which 12 students can be equally divided into three groups is 
A.
B.
C.
D.
18.  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.
19.  The number of ways in which 8 different beads be strung on a necklace is
A.
B.
C.
D.
20. 
The number of ways in which 6 men can be arranged in a row so that the particular 3 men sit together,is Options: A. B. C. D.None of these
A.
B.
C.
D.
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