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 different ways in which a man can invite one or more of his 6 friends to dinner is
  • A
    15
  • B
    120
  • C
    63
    Correct
  • D
    30
2
A lady arranges a dinner party for 6 guests .The number of ways in which they may be selected from among 10 friends if 2 of the friends will not attend the party together is
  • A
    164
  • B
    112
  • C
    140
    Correct
  • D
    none of these
3
In how many ways can a mixed doubles tennis game be arranged from a group of 10 players consisting of 6 men and 4 women
  • A
    90
  • B
    48
  • C
    180
    Correct
  • D
    120
4
The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is
  • A
    356
  • B
    260
    Correct
  • C
    96
  • D
    410
5
Numbers greater than 1000 but not greater than 5000 are to be formed with the digits 0, 1, 2, 3, 5, allowing repetitions, the number of possible numbers is
  • A
    370
  • B
    375
    Correct
  • C
    365
  • D
    none of these.
6
The number of all three digit even numbers such that if 5 is one of the digits then next digit is 7 is
  • A
    365
    Correct
  • B
    360
  • C
    none of these
  • D
    370
7
A coin is tossed n times, the number of all the possible outcomes is
  • A
    \({2^n}\)
    Correct
  • B
    C( n , 2 )
  • C
    2n
  • D
    P( n , 2 )
8
The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is
  • A
    none of these
  • B
    98
  • C
    90
    Correct
  • D
    72
9
If \({}^n{P_5} = 60{}^{n - 1}{P_3},\) then n is
  • A
    none of these
  • B
    12
  • C
    10
    Correct
  • D
    6
10
The number of ways in which the 6 faces of a cube can be painted with 6 different colours is
  • A
    12
  • B
    none of these
    Correct
  • C
    \(6!\)
  • D
    6
11
The number of ways in which the 4 faces of a regular tetrahedron can be painted with 4 different colours is
  • A
    1
    Correct
  • B
    none of these
  • C
    24
  • D
    4
12
The number of ways in which n ties can be selected from a rack displaying 3n different ties is
  • A
    none of these
  • B
    \(3{\text{ }} \times {\text{ }}n{\text{ }}!\)
  • C
    \(\left( {3n{\text{ }}} \right){\text{ }}!\)
  • D
    \({{\left( {3n} \right)!} \over {n!\left( {2n} \right)!}}\)
    Correct
13
Find Rank of word ‘wife ‘among the words that can be formed with its letters and arranged as in dictionary is
  • A
    8
  • B
    24
    Correct
  • C
    4
  • D
    18
14
The number of even numbers that can be formed by using all the digits 1, 2, 3, 4, and 5 (without repetitions) is
  • A
    1250
  • B
    48
    Correct
  • C
    none of these
  • D
    162
15
The number of all numbers that can be formed by using some or all of the digits 1, 3, 5, 7, 9 (without repetitions) is
  • A
    32
  • B
    none of these
  • C
    325
    Correct
  • D
    120