Self Studies

Permutations an...

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  • Question 1
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    A fair dice is rolled n times. The number of all the possible outcomes is

  • Question 2
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    The sum of all the numbers which can be formed by using the digits  1,3,5,7  all at a time and which have no digit repeated, is

  • Question 3
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    4 boys and 4 girls are to be seated in a row. The number of ways in which this can be done, if the boys and girls sit alternately, is

  • Question 4
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    The letters of the word ‘SOCIETY ’are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained is

  • Question 5
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    There are 10 true-false questions. The number of ways in which they can be answered is [ it is must to attempt the question ]

  • Question 6
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    The number of ways in which 6 “+ “and 4 “–“signs can be arranged in a line such that no two “–“signs occur together is

  • Question 7
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    On a railway track, there are 20 stations. The number of tickets required in order that it may be possible to book a passenger from every station to every other is

  • Question 8
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    A class is composed 2 brothers and 6 other boys. In how many ways can all the boys be seated at the round table so that the 2 brothers are not seated besides each other?

  • Question 9
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    The number of all selections which a student can make for answering one or more questions out of 8 given questions in a paper, when each question has an alternative, is:

  • Question 10
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    The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated is

  • Question 11
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    Different calendars for the month of February are made so as to serve for all the coming years. The number of such calendars is

  • Question 12
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    The number of all odd divisors of 3600 is

  • Question 13
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    The number of all even divisors of 1600 is

  • Question 14
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    A convex polygon of n sides has n diagonals. The value of n is

  • Question 15
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    The number of all possible positive integral solutions of the equation xyz = 30 is

  • Question 16
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    Number of all 4 digit numbers with distinct digits is

  • Question 17
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    The number of ways, in which a student can choose 5 courses out of 8 courses, when 2 courses are compulsory, is

  • Question 18
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    An online examination have 12 question out of which we havethe alternative to select the answer. Choose how many ways can be there in which one can answer the question

  • Question 19
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    20 students can compete for a race. The number of ways in which they can win the first three places is (given that no two students finish in the same place)

  • Question 20
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    The number of ways of dividing 52 cards equally into 4 sets is  

  • Question 21
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    The number of three digit numbers having atleast one digit as 5 is

  • Question 22
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    5 boys and 5 girls are to be seated around a table such that boys and girls sit alternately. The number of ways of seating them is

  • Question 23
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    The total number of numbers from 1000 to 9999 (both inclusive) that do not have 4 different digits

  • Question 24
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    If P (n,r) = C (n,r) then

  • Question 25
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    2.6.10.14 ……upto 50 factors is equal to

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