CBSE  /  Class 11  /  Maths  /  Permutations and Combinations

  • 1. 
    The number of ways can the letters of the word ASSASSINATION be arranged so that all the S are together is

  • 152100
  • 1512
  • 15120
  • 151200

  • 2. 
    If repetition of the digits is allowed, then the number of even natural numbers having three digits is

  • 250
  • 350
  • 450
  • 550

  • 3. 
    Let Tn denote the number of triangles which can be formed using the vertices of a regular polygon on n sides. If T<sub>n+1</sub> - T<sub>n</sub> = 21, then n equals

  • 5
  • 7
  • 6
  • 4

  • 4. 
    How many ways are here to arrange the letters in the word GARDEN with the vowels in alphabetical order?

  • 120
  • 240
  • 360
  • 480

  • 5. 
    How many factors are 25 × 36 × 52 are perfect squares

  • 24
  • 12
  • 16
  • 22

  • 6. 
    A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is

  • 40
  • 196
  • 280
  • 346

  • 7. 
    Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is

  • 1296
  • 671
  • 625
  • 585

  • 8. 
    In how many ways in which 8 students can be sated in a line is

  • 40230
  • 40320
  • 5040
  • 50400

  • 9. 
    The number of squares that can be formed on a chess board is

  • 64
  • 160
  • 224
  • 204

  • 10. 
    How many 3-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed

  • 720
  • 420
  • none of these
  • 5040
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