Basic Concepts Of Permutations And Combinations

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Basic Concepts Of Permutations And Combinations

  
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1.  There are 12 points in a plane of which 5 are collinear. The number of triangles is
A.
B.
C.
D.
2.  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.
3. 
 is equal to Options: A. B. C. D.None of these
A.
B.
C.
D.
4.  The number of ways in which the letters of the word DOGMATIC can be arranged is
A.
B.
C.
D.
5. 
If nc10 = nc14, then is
A.
B.
C.
D.
6.  The number of 4 digit numbers formed with the digits 1, 1, 2, 2, 3, 4 is
A.
B.
C.
D.
7.  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.
8.  The number of ways in which 7 boys sit in a round -table so that two particular boys may sit together is
A.
B.
C.
D.
9.  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.
10.  There are 10 trains plying between Calcutta and Delhi. The number of ways in which a person can go from Calcutta to Delhi and return by a different train is 
A.
B.
C.
D.
11. 
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.
12. 
 nPr can also written as Options: A. B. C. D.None of these
A.
B.
C.
D.
13.   In  nPr =n (n-1) (n-2) ........................ (n-r-1), the number of factor is  
A.
B.
C.
D.
14.  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.
15.  The total number of 9 digits numbers of different digits is
A.
B.
C.
D.
16.  The sum of all 4 digit number containing the digits 2, 4, 6, 8, without repetitions 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. 
In nPr, the restriction is  Options: A.n > r B. C. D. None of these
A.
B.
C.
D.
19.  The number of ways the letters of the word "Triangle" to be arranged so that the word 'angle' will be always present is
A.
B.
C.
D.
20.  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.
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