Basic Concepts Of Permutations And Combinations

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 Basic Concepts Of Permutations And Combinations

  
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1.  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.
2.  If n cr-1 = 56, = 28 and n cr+1 = 8, then r is equal to
A.
B.
C.
D.
3.  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.
4.   is equal to Options: A. B. C. D.None of these
A.
B.
C.
D.
5.  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.
6.  If  then the value of r is
A.
B.
C.
D.
7.  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.
8.  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. B. C.4950(7)! D.None of these
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.  If 50 different jewels can be set to form a necklace then the number of ways is Options: A. B. C.49! D.None of these
A.
B.
C.
D.
11.   nPr can also written as Options: A. B. C. D.None of these
A.
B.
C.
D.
12.  The number of straight lines obtained by joining 16 points on a plane, no twice of them being on the same line is
A.
B.
C.
D.
13.  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. C.5! D.None of these
A.
B.
C.
D.
14.  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.
15.  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.
16.  The number of ways in which the letters of the word DOGMATIC can be arranged is
A.
B.
C.
D.
17.  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.
18.  A person has 8 friends. The number of ways in which he may invite one or more of thai to a dinner is.
A.
B.
C.
D.
19.  If . nP3: nP2 =3:1, then n is equal to
A.
B.
C.
D.
20.  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.
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