JEE Main & Advanced Mathematics Permutations and Combinations Question Bank

done Numerical Value Type Questions - Permutations and Combinations Total Questions - 15

• question_answer1)
  The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of digits allowed) is equal to
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• question_answer2)
  The number of functions f from \[\{1,2,3,.....,20\}\] onto \[\{1,2,3,.....,20\}\]such that \[f(k)\] is a multiple of 3, whenever k is a multiple of 4 is of the form \[a!\times b!\] then \[a\times b\] is
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• question_answer3)
  Consider three boxes, each containing 10 balls labelled 1, 2,..., 10. Suppose one ball is randomly drawn from each of the boxes. Denote by \[{{n}_{i}},\] the label of the ball drawn from the \[{{i}^{th}}\] box, \[(i=1,2,3)\]. Then, the number of ways in which the balls can be chosen such that \[{{n}_{1}}<{{n}_{2}}<{{n}_{3}}\] is
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• question_answer4)
  There are m men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men and the women by 84, then the value of m is
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• question_answer5)
  In a circus there are ten cages for accommodating ten animals. Out of these four cages are so small that five out of 10 animals cannot enter into them. In how many ways will it is possible to accommodate ten animals in these cages
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• question_answer6)
  Number greater than 1000 but less than 4000 is formed using the digits \[0,1,2,3,4\] (repetition allowed). Their number is
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• question_answer7)
  The number of n digit numbers which consists of the digits 1 and 2 only if each digit is to be used at least once, is equal to 510 then n is equal to
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• question_answer8)
  4 buses runs between Bhopal and Gwalior. If a man goes from Gwalior to Bhopal by a bus and comes back to Gwalior by another bus, then the total possible ways are
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• question_answer9)
  How many numbers lying between 500 and 600 can be formed with the help of the digits 1, 2, 3, 4, 5, 6 when the digits are not be repeated?
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• question_answer10)
  The sum of integers from 1 to 100 that are divisible by 2 or 5 is
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• question_answer11)
  If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number
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• question_answer12)
  Total number of elements in the range of the function  \[f(x){{=}^{7-x}}{{P}_{x-3}}\] is
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• question_answer13)
  Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4, 6 and 7 without repetition. Total number of such numbers are
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• question_answer14)
  The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by \[a!\times b!,\] then \[\frac{a}{b}\] is
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• question_answer15)
  All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in which the odd digits occupy even places is
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