Permutations & Combinations

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Q. In how many ways can 3 different trophies be arranged on a shelf?
  • A. 6
  • B. 12
  • C. 18
  • D. 24
Q. In how many ways can 3 prizes be awarded to 10 students?
  • A. 720
  • B. 1000
  • C. 120
  • D. 100
Q. In how many ways can 3 prizes be awarded to 5 students? (2021)
  • A. 60
  • B. 100
  • C. 120
  • D. 80
Q. In how many ways can 3 prizes be distributed among 5 students? (2021)
  • A. 60
  • B. 100
  • C. 120
  • D. 80
Q. In how many ways can 3 students be chosen from a group of 8? (2015)
  • A. 56
  • B. 24
  • C. 36
  • D. 48
Q. In how many ways can 4 different flags be arranged on a pole? (2015)
  • A. 24
  • B. 12
  • C. 36
  • D. 48
Q. In how many ways can 4 different fruits be selected from 10 fruits?
  • A. 210
  • B. 120
  • C. 240
  • D. 300
Q. In how many ways can 4 different letters be arranged?
  • A. 24
  • B. 12
  • C. 16
  • D. 20
Q. In how many ways can 4 different prizes be distributed among 10 students? (2023)
  • A. 5040
  • B. 10000
  • C. 2400
  • D. 120
Q. In how many ways can 4 prizes be distributed among 10 students?
  • A. 210
  • B. 5040
  • C. 10000
  • D. 1001
Q. In how many ways can 4 students be seated in a row of 6 chairs? (2021)
  • A. 360
  • B. 720
  • C. 120
  • D. 240
Q. In how many ways can 5 different books be arranged on a shelf? (2021)
  • A. 60
  • B. 120
  • C. 240
  • D. 720
Q. In how many ways can 5 different colored balls be arranged in a line?
  • A. 60
  • B. 120
  • C. 240
  • D. 720
Q. In how many ways can 5 different colored balls be arranged in a row? (2021)
  • A. 120
  • B. 60
  • C. 100
  • D. 80
Q. In how many ways can 5 different fruits be arranged in a row?
  • A. 60
  • B. 120
  • C. 24
  • D. 30
Q. In how many ways can 5 different letters be arranged if 2 letters are always together? (2019)
  • A. 48
  • B. 60
  • C. 120
  • D. 24
Q. In how many ways can 6 different books be arranged on a shelf?
  • A. 720
  • B. 600
  • C. 360
  • D. 480
Q. In how many ways can 6 different colored balls be arranged in a line?
  • A. 720
  • B. 120
  • C. 60
  • D. 30
Q. In how many ways can 6 different colored balls be arranged in a row? (2018)
  • A. 720
  • B. 600
  • C. 480
  • D. 360
Q. In how many ways can 6 different flags be arranged on a pole?
  • A. 720
  • B. 600
  • C. 480
  • D. 540
Q. In how many ways can 6 people be seated in a row?
  • A. 720
  • B. 600
  • C. 480
  • D. 360
Q. In how many ways can 7 people be divided into 3 groups if one group must have 3 people?
  • A. 210
  • B. 300
  • C. 420
  • D. 560
Q. In how many ways can the letters of the word 'BOOK' be arranged? (2022)
  • A. 12
  • B. 24
  • C. 16
  • D. 8
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