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Permutations and Combinations Test - 15

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Permutations and Combinations Test - 15
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  • Question 1
    4 / -1
    The number of natural numbers less than 1000, in which no two digits are repeated, is
    Solution

  • Question 2
    4 / -1
    How many numbers lying between 999 and 10000 can be formed with the help of the digits 0, 2, 3, 6, 7, 8 when the digits are not he repeated?
  • Question 3
    4 / -1
    20 persons are invited for a party. In how many different ways can they and the host be seated at circular table, if the two particular persons are to be seated on either side of the host ?
    Solution

  • Question 4
    4 / -1
    How many ways are there to arrange the letters in the word `GARDEN' with the vowels in alphabetical order ?
    Solution

  • Question 5
    4 / -1
    The sum of all five-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 when repetition of digits is not allowed, is
    Solution

  • Question 6
    4 / -1
    If all permutations of the letters of the word 'AGAIN' are arranged as in dictionary, then fiftieth word is
    Solution

  • Question 7
    4 / -1
    If r, s, t are prime numbers and p, q are the positive integers such that LCM of p, q is r2 S4 t 2, then the number of ordered pairs (p, q) is
    Solution

  • Question 8
    4 / -1
    How many numbers greater than 40000 can be formed from the digits 2, 4, 5, 5, 7 ?
    Solution

  • Question 9
    4 / -1
    How many numbers of 6 digits can be formed from the digits of the number 112233 ?
    Solution

  • Question 10
    4 / -1
    A student is allowed to select atmost n books from a collection of (2n + 1) books. If the number of ways in which he can do this, is 64, then the value of n is
    Solution

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