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  • Question 1
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    The number of different ways in which a man can invite one or more of his 6 friends to dinner is

  • Question 2
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    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

  • Question 3
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    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

  • Question 4
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    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

  • Question 5
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    Numbers greater than 1000 but not greater than 4000 are to be formed with the digits 0, 1, 2, 3, 4, allowing repetitions, the number of possible numbers is

  • Question 6
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    The number of all three digit even numbers such that if 5 is one of the digits then next digit is 7 is

  • Question 7
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    A coin is tossed n times, the number of all the possible outcomes is

  • Question 8
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    The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is

  • Question 9
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    If  n P5  = 60n −1 P3 , then n is

  • Question 10
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    The number of ways in which the 6 faces of a cube can be painted with 6 different colours is

  • Question 11
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    The number of ways in which the 4 faces of a regular tetrahedron can be painted with 4 different colours is

  • Question 12
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    The number of ways in which n ties can be selected from a rack displaying 3n different ties is

  • Question 13
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    Find Rank of word ‘wife ‘among the words that can be formed with its letters and arranged as in dictionary is

  • Question 14
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    The number of even numbers that can be formed by using all the digits 1, 2, 3, 4, and 5 (without repetitions) is

  • Question 15
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    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

  • Question 16
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    In a multiple choice question, there are 4 alternatives, of which one or more are correct. The number of ways in which a candidate can attempt this question is

  • Question 17
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    In how many ways can the letters of the word ‘MATHEMATICS ‘be permuted so that consonants always occur together?

  • Question 18
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    The number of triangles that can be formed with 6 points on a circle is

  • Question 19
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    Number of ways in which 10 different things can be divided into two groups containing 6 and 4 things respectively is

  • Question 20
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    The number of selections of n different things taken r at a time which exclude a particular thing is

  • Question 21
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    The number of arrangements of n different things taken r at a time which include a particular thing is

  • Question 22
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    The number of arrangements of n different things taken r at a time which exclude a particular thing is

  • Question 23
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    5 persons board a lift on the ground floor of an 8 storey building. In how many ways can they leave the lift?

  • Question 24
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    If C(12,4) + C(12,5) = C(n,5) ,then n is equal to

  • Question 25
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    The number of ways in which a necklace can be formed by using 5 identical red beads and 6 identical white beads is:

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