NDA MATHS QUESTION BANK

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PERMUTATIONS AND COMBINATIONS



  1. The Value of^ ∑ is
    equal to:
    (a)^ (b)^ (c)^ (d) none
    of these

  2. The number of diagonals of an
    octagon, is:
    (a) 48 (b) 40 (c)28 (d) 20

  3. If S= {2, 3, 4, 5, 7, 9}, then the number
    of different three-digit numbers
    (with all distinct digits) less than 400
    that can be formed from S, is:
    (a) 20 (b) 40 (c) 80 (d) 120

  4. The number of triangles that can be
    formed by choosing the vertices from
    a set of 12 points, seven of which lie
    on the same straight line, is:
    (a) 185 (b) 175 (c) 115 (d) 105

  5. How many words of 4 consonants
    and 3 vowels can be made from 12
    consonants and 4 vowels, if all the
    letters are different?
    (a) 251820 (b) 258120 (c) 281520
    (d) 285120

  6. The number of words that can be
    formed from the letters of the word
    INDRAPRASTHA when the vowels
    are never separated, is:
    (a) 727560 (b) 725760 (c) 752760
    (d) 757260

  7. The number 2 digit even numbers
    that can be formed from the digits
    1, 2, 3, 4 and 5, repetition being not
    allowed, is:
    (a) (b) 5! (c) 16 (d) 8

  8. The number of lines obtained on
    joining 7 points in a plane is:
    (a) 14 (b) 21 (c) 28 (d) 35

  9. In how many ways can a committee
    of 5 members be formed out of 7
    men and 3 women, so as to include
    exactly 3 men?
    (a) 36 (b) 41 (c) 105 (d) 210

  10. In how many ways can 10 lions and
    6 tigers be arranged in a row so that
    no two tigers are together?
    (a) 10! (b) 6! (c) 6!
    (d) 6!

  11. Eighteen football teams take part
    in the national championship and
    every team meets the same
    opponent twice. How many matches
    are played during the
    championship?
    (a) 306 (b) 300 (c) 72 (d) 153

  12. A polygon has 54 diagonals. How
    many sides does it have?
    (a) 10 (b) 11 (c) 12 (d) 27

  13. A team consists of 3 men, 3
    women and 3 children. They have to
    stand in a line such that the men
    stand together, women stand
    together and children stand
    together. In how many different
    ways can this be done?
    (a) 1296 (b) 1692 (c) 1926 (d)
    1270

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