Permutation and Combination Questions Answers Online Quiz Test

• 1. Evaluate \begin{aligned}
  \frac{30!}{28!}
  \end{aligned}

  1. 970
  2. 870
  3. 770
  4. 670

• 2. Evaluate permutation equation
  \begin{aligned} ^{59}{P}_3 \end{aligned}

  1. 195052
  2. 195053
  3. 195054
  4. 185054

• 3. Evaluate permutation
  \begin{aligned}
  ^5{P}_5
  \end{aligned}

  1. 120
  2. 110
  3. 98
  4. 24

• 4. Evaluate permutation equation
  \begin{aligned} ^{75}{P}_2\end{aligned}

  1. 5200
  2. 5300
  3. 5450
  4. 5550

• 5. Evaluate combination
  \begin{aligned}
  ^{100}{C}_{97} = \frac{100!}{(97)!(3)!} \\
  \end{aligned}

  1. 161700
  2. 151700
  3. 141700
  4. 131700

• 6. Evaluate combination
  \begin{aligned}
  ^{100}{C}_{100}
  \end{aligned}

  1. 10000
  2. 1000
  3. 10
  4. 1

• 7. How many words can be formed by using all letters of TIHAR

  1. 100
  2. 120
  3. 140
  4. 160

• 8. In how many words can be formed by using all letters of the word BHOPAL

  1. 420
  2. 520
  3. 620
  4. 720

• 9. In how many way the letter of the word "APPLE" can be arranged

  1. 20
  2. 40
  3. 60
  4. 80

• 10. In how many ways can the letters of the CHEATER be arranged

  1. 20160
  2. 2520
  3. 360
  4. 80

• 11. In how many way the letter of the word "RUMOUR" can be arranged

  1. 2520
  2. 480
  3. 360
  4. 180

• 12. How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.

  1. 17280
  2. 4320
  3. 720
  4. 80

• 13. In how many ways can the letters of the word "CORPORATION" be arranged so that vowels always come together.

  1. 5760
  2. 50400
  3. 2880
  4. None of above

• 14. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there

  1. 109
  2. 128
  3. 138
  4. 209

• 15. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done

  1. 456
  2. 556
  3. 656
  4. 756

• 16. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw

  1. 64
  2. 128
  3. 132
  4. 222

• 17. A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours

  1. 12
  2. 24
  3. 48
  4. 168

• 18. How many words can be formed from the letters of the word "AFTER", so that the vowels never comes together.

  1. 48
  2. 52
  3. 72
  4. 120

• 19. In a Cricket cup total 153 matches were played and every two teams played exactly one match with each other. So what were the total number of teams participating in Cricket Cup ?

  1. 15
  2. 16
  3. 17
  4. 18
  5. 19