Quantitative Aptitude - Permutations and Combinations

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Question - 1

The values of \(^{75}P_{2}\) is :

  • A 2775
  • B 150
  • C 5550
  • D None of these

Question - 2

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS' , if repetition of letters is not allowed ?

  • A 40
  • B 400
  • C 5040
  • D 2520

Question - 3

How many words with or without meaning, can be formed by using all the letters of the word, 'DELHI' , using each letter exactly once ?

  • A 10
  • B 25
  • C 60
  • D 120

Question - 4

In how many ways can the letters of the word 'APPLE' be arrangned

  • A 720
  • B 120
  • C 60
  • D 180
  • E none of these

Question - 5

The how many ways can the letters of the word 'LEADER' be arranged?

  • A 72
  • B 144
  • C 360
  • D 720
  • E None of these

Question - 6

In how many different ways can the letters of the word 'RUMOUR' be arranged ?

  • A 180
  • B 90
  • C 30
  • D 720
  • E None of these

Question - 7

How many words can be formed by using all the letters of the word, 'ALLAHABAD' ?

  • A 3780
  • B 1890
  • C 7560
  • D 2520
  • E None of these

Question - 8

How many arrangement can be made out of the letters of the word 'ENGINEERING' ?

  • A 277200
  • B 92400
  • C 69300
  • D 23100
  • E None of these

Question - 9

How many words can be formed from the letters of the word 'SIGNATURE' so that the vowels always come together ?

  • A 720
  • B 1440
  • C 2880
  • D 3600
  • E 17280

Question - 10

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together ?

  • A 120
  • B 720
  • C 4320
  • D 2160
  • E None of these