Permutations And Combinations CBSE Questions & Answers

Permutations And Combinations

This is Mathematics Class 11 Permutations and Combinations CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The number of diagonals that can be drawn by joining the vertices of a heptagon is :
  • A
    7
  • B
    12
  • C
    14
    Correct
  • D
    21
2
The number of diagonals that can be drawn by joining the vertices of an octagon is :
  • A
    48
  • B
    20
    Correct
  • C
    none of these
  • D
    28
3
Number of divisors of n = 38808 (except 1 and n) is
  • A
    68
  • B
    74
  • C
    70
    Correct
  • D
    72
4
The number of 7 digit numbers which can be formed using the digits 1, 2, 3, 2, 3, 3, 4 is
  • A
    5040
  • B
    2520
  • C
    840
  • D
    420
    Correct
5
The number of five digit telephone numbers having atleast one of their digits repeated is
  • A
    none of these.
  • B
    90000
  • C
    30240
  • D
    69760
    Correct
6
The total number of 4 digit odd numbers that can be formed using 0, 1, 2, 3, 5, and 7 are
  • A
    400
  • B
    720
    Correct
  • C
    375
  • D
    none of these
7
The remainder obtained when \(1!{\text{ }} + {\text{ }}2!{\text{ }} + {\text{ }}3!{\text{ }} + {\text{ }} \ldots .. + {\text{2}}00!\). Is divided by 14 is
  • A
    5
    Correct
  • B
    none of these
  • C
    4
  • D
    3
8
In how many ways can 5 different beads be arranged to form a necklace?
  • A
    120
  • B
    12
    Correct
  • C
    60
  • D
    none of these
9
A polygon has 44 diagonals. The number of its sides is
  • A
    none of these
  • B
    12
  • C
    11
    Correct
  • D
    10
10
The number of parallelograms that can be formed from a set of 4 parallel lines intersecting another set of three parallel lines is
  • A
    6
  • B
    none of these
  • C
    18
    Correct
  • D
    12
11
The greatest possible number of points of intersection of 8 straight lines and 4 circles is
  • A
    64
  • B
    128
  • C
    104
    Correct
  • D
    32
12
The number of ways in which 4 persons can be seated at a round table so that all shall not have same neighbours in any two arrangements is:
  • A
    3
    Correct
  • B
    none of these
  • C
    24
  • D
    6
13
The number of all 4 digited numbers that can be formed by using the digits 1, 2, 3, 4 and 5 which are divisible by 4 is
  • A
    120
  • B
    none of these
  • C
    125
    Correct
  • D
    95
14
How many even numbers can be formed by using all the digits 2, 3, 4, 5, 6?
  • A
    24
  • B
    none of these
  • C
    120
  • D
    72
    Correct
15
In an examination, a candidate is required to pass four different subjects .Then the number of ways in which he can fail is
  • A
    15
    Correct
  • B
    24
  • C
    16
  • D
    12