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Free download in PDF Class 11 Maths Chapter 7 Permutations and Combinations Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. /p>
(1)
Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is
[A]
1296
[B]
671
[C]
625
[D]
585
(2)
How many ways are here to arrange the letters in the word GARDEN with the vowels in alphabetical order?
[A]
120
[B]
240
[C]
360
[D]
480
(3)
The number of ways can the letters of the word ASSASSINATION be arranged so that all the S are together is
[A]
152100
[B]
1512
[C]
15120
[D]
151200
(4)
In how many ways can 4 different balls be distributed among 5 different boxes when any box can have any number of balls?
[A]
54 – 1
[B]
54
[C]
45 – 1
[D]
45
(5)
The number of combination of n distinct objects taken r at a time be x is given by
[A]
n/2Cr
[B]
n/2Cr/2
[C]
n/2/2
[D]
nCr
(6)
The value of P(n, n – 1) is
[A]
n
[B]
2n
[C]
n!
[D]
2n!
(7)
Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is
[A]
1296
[B]
671
[C]
625
[D]
585
(8)
There are 12 points in a plane out of which 5 are collinear. The number of triangles formed by the points as vertices is
[A]
185
[B]
210
[C]
220
[D]
175
(9)
The number of ways of painting the faces of a cube with six different colors is
[A]
1
[B]
6
[C]
6!
[D]
None of these
(10)
If repetition of the digits is allowed, then the number of even natural numbers having three digits is
[A]
250
[B]
350
[C]
450
[D]
550
(11)
If repetition of the digits is allowed, then the number of even natural numbers having three digits is
[A]
250
[B]
350
[C]
450
[D]
550
(12)
The number of squares that can be formed on a chess board is
[A]
64
[B]
160
[C]
224
[D]
204
(13)
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is
[A]
40
[B]
196
[C]
280
[D]
346
(14)
How many 3-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed
[A]
720
[B]
420
[C]
none of these
[D]
5040
(15)
In how many ways in which 8 students can be sated in a line is
[A]
40230
[B]
40320
[C]
5040
[D]
50400
(16)
The number of ways in which 8 distinct toys can be distributed among 5 children is
[A]
58
[B]
85
[C]
8P5
[D]
5P5
(17)
Out of 5 apples, 10 mangoes and 13 oranges, any 15 fruits are to be distributed among 2 persons. Then the total number of ways of distribution is
[A]
1800
[B]
1080
[C]
1008
[D]
8001
(18)
6 men and 4 women are to be seated in a row so that no two women sit together. The number of ways they can be seated is
[A]
604800
[B]
17280
[C]
120960
[D]
518400
(19)
Let Tn denote the number of triangles which can be formed using the vertices of a regular polygon on n sides. If Tn+1 – Tn = 21, then n equals
(20)
How many factors are 25 × 36 × 52 are perfect squares
[A]
24
[B]
12
[C]
16
[D]
22
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