Basic Concepts Of Permutations And Combinations

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Basic Concepts Of Permutations And Combinations

  
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1. 
 is equal to Options: A. B. C. D.None of these
A.
B.
C.
D.
2.  The number of different factors the number 75600 has is
A.
B.
C.
D.
3.  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.
4.  The number of permutations of 10 different things taken 4 at a time in which one particular thing never occurs is
A.
B.
C.
D.
5.  The number of ways in which the letters of the word DOGMATIC can be arranged 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.  Lf 500 C92=499C92 + nC91 then x is
A.
B.
C.
D.
8. 
The value of 
A.
B.
C.
D.
9.  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.
10.  Mr. X and Mr. Y enter into a railway compartment having six vacant seats. The number of ways in which they can occupy the seats is
A.
B.
C.
D.
11.  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.
12.  A candidate is required to answer 6 out of 12 questions which are divided into two groupsl containing 6 questions in each group. He is not permitted to attempt not more than four from any group. The number of choices are
A.
B.
C.
D.
13.  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.
14.  The number of ways the letters of the word COMPUTER can be rearranged is
A.
B.
C.
D.
15.  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.
16. 
 nPr can also written as Options: A. B. C. D.None of these
A.
B.
C.
D.
17.  The number of ways in which 8 different beads be strung on a necklace is
A.
B.
C.
D.
18.  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.
19.  If nP4 = 12 x nP2, then is equal to 
A.
B.
C.
D.
20.  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.
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