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Maths MCQ Class 11 Ch-7 | Permutations & Combinations
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Mathematics
MCQ | Class 11 | Chapter 07
Permutations & Combinations
Multiple Choice Questions (MCQ)
- MCQ Based on the arrangements or Permutations.
- MCQ Based on the Selections or Combinations.
- MCQ Based on the Factorial notations.
Features
- In this post given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations.
- Solution Hints are also given to some difficult problems.
- Each MCQ contains four options from which one option is correct.
Action Plan
- First of all students should Learn and write all basic points and Formulas related to the Permutations & Combinations
- Start solving the NCERT Problems with examples.
- Solve the important assignments on the Permutations & Combinations Chapter 7 Class XI.
- Then start solving the following MCQ.
MCQ | CHAPTER 7 | CLASS 11
PERMUTATIONS & COMBINATIONS
a) 5
b) 6
c) 8
d) 9
(a) n/2Cr
(b) n/2Cr/2
(c) nCr/2
(d) nCr
a) m + n
b) m – n
c) m x n
d) m/n
a) 4
b) 8
c) 12
d) 16
a) 20 ways
b) 100 ways
c) 512 ways
d) 1024 ways
Answer: d
Explanation:
Given that
there are 10 questions.
Each question
can be answered in two ways. (i.e. either true or false).
Hence, the
number of ways these questions can be answered is 210, which is
equal to 1024.
a) 20
b) 60
c) 120
d) 240
a) 25
b) 120
c) 125
d) 3125
a) 27216
b) 50400
c) 100000
d) 90000
a) 27216
b) 50400
c) 100000
d) 90000
a) 6
b) 10
c) 12
d) 16
a) 6561
b) 2016
c) 1344
d) 2916
a) 250
b) 300
c) 325
d) 400
a) 6561
b) 2016
c) 1344
d) 2916
a) 6561
b) 2016
c) 1344
d) 2916
a) 336
b) 448
c) 588
d) 235
a) 300
b) 250
c) 100
d) 200
a) 13240
b) 15120
c) 16320
d) 17400
a) 504
b) 729
c) 1000
d) 720
a) 1
b) 2
c) 3
d) 4
a) 40320
b) 37440
c) 1440
d) 2880
a) 3
b) 2
c) 6
d) 5
a) 97
b) 98
c) 99
d) 100
Answer c
Explanation: Words
starting with letter A comes first in dictionary.
Starting with A, number
of words = 4! = 24.
Starting with E, number
of words = 4! = 24.
Starting with I, number
of words = 4! = 24.
Starting with G, number
of words = 4! = 24.
Since our word also
start with M so, we have to consider one more letter i.e. MA.
Since our word also
start with MA so, we have to consider one more letter i.e. MAE.
Starting with MAE,
number of words = 2! = 2.
Since our word also
start with MAG so, we have to consider one more letter i.e. MAGE.
Starting with MAGE,
only one letter i.e. MAGEI.
a) 2
b) 3
c) 5
d) 6
a) 20
b) 60
c) 120
d) 240
a) 40320
b) 37440
c) 1440
d) 2880
a) 362880
b) 1260
c) 24
d) 105680
a) 7
b) 14
c) 28
d) 32
a) 1
b) 5
c) 10
d) 15
(a) 720
(b) 420
(c) none of these
(d) 5040
a) 3
b) 10
c) 30
d) 40
a) 1
b) 14
c) 15
d) 3
a) 90
b) 105
c) 120
d) 75
a) 2n
b) 2n
c) C(n, 2)
d) P(n, 2)
a) 1
b) 6
c) 6!
d) None of these
Answer a
Since the number of faces is same as the number of colors,
therefore the number of ways of painting them is 1
(a) 40230
(b) 40320
(c) 5040
(d) 50400
Answer b
The number of ways in which 8 students can be sated in a line = 8P8 = 8!
= 40320
(a) 250
(b) 350
(c) 450
(d) 550
Answer c
In a 3 digit number, 1st place can be filled in 5 different ways with (0, 2, 4, 6, 8)
10th place can be filled in 10 different ways.
100th place can be filled in 9 different ways.
So, the total number of ways = 5 × 10 × 9 = 450
(a) 64
(b) 160
(c) 224
(d) 204
Answer
d
Explanation:
1×1
grid squares = 8×8 = 64,
2×2
grid squares = 7×7 = 49,
3×3
grid squares = 6×6 = 36 upto 8×8 grid squares = 1×1 = 1.
Hence,
the total number of squares that can be formed on a chess board = 82 + 72
+ 62 + … + 12
= 12 + 22
+ 32 + … + 82
=
[n(n + 1)(2n + 1)]/6
Here,
n = 8
Hence,
=
[8(8 + 1)(16 + 1)]/6
=
(8×9×17)/6
(a) 40
(b) 196
(c) 280
(d) 346
Answer
b
There are two cases
1. When 4 is selected from the first 5 and rest 6 from remaining 8
Total arrangement = 5C4 × 8C6
= 5C1 × 8C2
= 5 × (8×7)/(2×1)
= 5 × 4 × 7
= 140
2. When all 5 is selected from the first 5 and rest 5 from remaining 8
Total arrangement = 5C5 × 8C5
= 1 × 8C3
= (8×7×6)/(3×2×1)
= 8×7
= 56
Now, total number of choices available = 140 + 56 = 196
a) 1
b) 2
c) 3
d) 4
a) 24
b) 120
c) 720
d) 8
a) True
b) False
a) True
b) False
b) False
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