Basic Concepts Of Permutations And Combinations
86 Questions
| Attempts: 1333
Questions and Answers
- 1.is evaluated as
- A.
43
- B.
34
- C.
24
- D.
None of these
- 2.is equal to
- A.
1
- B.
24
- C.
0
- D.
None of these
- 3.7! is equal to
- A.
5040
- B.
4050
- C.
5050
- D.
None of these
- 4.0! is a symbol equal to
- A.
0
- B.
1
- C.
Infinity
- D.
None of these
- 5.In nPr ,n is always
- A.
An integer
- B.
A fraction
- C.
A positive integer
- D.
None of these
- 6.In nPr the restriction is Options: A.n > r B. C. D. None of these
- A.
A
- B.
B
- C.
C
- D.
D
- 7.In nPr =n (n-1) (n-2) ........................ (n-r-1), the number of factor is
- A.
N
- B.
R-1
- C.
N-r
- D.
R
- 8.nPr can also written as Options: A. B. C. D.None of these
- A.
A
- B.
B
- C.
C
- D.
D
- 9.If nP4 = 12 x nP2, then is equal to
- A.
-1
- B.
6
- C.
5
- D.
None of these
- 10.If . nP3: nP2 =3:1, then n is equal to
- A.
7
- B.
4
- C.
5
- D.
None of these
- 11.m+nP2 = 56, m-nP2 = 30 then
- A.
M =6, n = 2
- B.
M = 7, n= 1
- C.
M=4,n=4
- D.
None of these
- 12.If 5Pr= 60, then the value of r is
- A.
3
- B.
2
- C.
4
- D.
None of these
- 13.If n1+n2 P2 = 132, n1-n2P2 = 30 then,
- A.
N1=6,n2=6
- B.
N1=10,n2=2
- C.
N1=9,n2=3
- D.
None of these
- 14.The number of ways the letters of the word COMPUTER can be rearranged is
- A.
40320
- B.
40319
- C.
40318
- D.
None of these
- 15.The number of arrangements of the letters in the word FAILURE, so that vowels are always! coming together is
- A.
576
- B.
575
- C.
570
- D.
None of these
- 16.10 examination papers are arranged in such a way that the best and worst papers never come together. The number of arrangements is
- A.
9[8]!
- B.
10!
- C.
8[9]!
- D.
None of these
- 17.N articles are arranged in such a way that 2 particular articles never come together. The number of such arrangements is
- A.
(n-2)n-1!
- B.
(n-1)n-2!
- C.
N!
- D.
None of these
- 18.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.
1230
- B.
1320
- C.
3210
- D.
None of these
- 19.The sum of all 4 digit number containing the digits 2, 4, 6, 8, without repetitions is
- A.
133330
- B.
122220
- C.
213330
- D.
133320
- 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.
72
- B.
27
- C.
70
- D.
None of these
- 21.4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then number of such numbers is
- A.
120
- B.
20
- C.
96
- D.
None of these
- 22.The number of ways the letters of the word "Triangle" to be arranged so that the word 'angle' will be always present is
- A.
20
- B.
60
- C.
24
- D.
32
- 23.If the letters word 'Daughter' are to be arranged so that vowels occupy the odd places, then number of different words are
- A.
576
- B.
676
- C.
625
- D.
524
- 24.The number of ways in which 7 girls form a ring is
- A.
700
- B.
710
- C.
720
- D.
None of these
- 25.The number of ways in which 7 boys sit in a round -table so that two particular boys may sit together is
- A.
240
- B.
200
- C.
120
- D.
None of these
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