Permutation & Combination

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Q. From a group of 8 people, how many ways can a team of 4 be selected?
  • A. 70
  • B. 56
  • C. 80
  • D. 90
Q. How many ways can 5 different colored balls be placed in 3 different boxes if each box can hold any number of balls?
  • A. 243
  • B. 125
  • C. 256
  • D. 3125
Q. How many ways can 5 students be seated in a row of 5 chairs?
  • A. 120
  • B. 60
  • C. 30
  • D. 90
Q. If 6 different colored balls are to be arranged in a row, how many arrangements are possible?
  • A. 720
  • B. 600
  • C. 360
  • D. 480
Q. If a committee of 3 is to be formed from 5 people, how many different committees can be formed?
  • A. 10
  • B. 15
  • C. 20
  • D. 5
Q. If a committee of 3 members is to be formed from a group of 5 people, how many different committees can be formed?
  • A. 10
  • B. 15
  • C. 5
  • D. 20
Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using 26 letters and 10 digits?
  • A. 676000
  • B. 6760000
  • C. 67600
  • D. 6760
Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using the first 3 letters of the alphabet and the first 5 digits?
  • A. 150
  • B. 180
  • C. 120
  • D. 100
Q. If a team of 4 is to be selected from 10 players, how many different teams can be formed?
  • A. 210
  • B. 120
  • C. 300
  • D. 150
Q. In how many different ways can the letters of the word 'MATH' be arranged?
  • A. 12
  • B. 24
  • C. 16
  • D. 8
Q. In how many ways can 3 students be selected from a class of 8 to represent in a competition?
  • A. 56
  • B. 24
  • C. 36
  • D. 48
Q. In how many ways can 4 different books be arranged on a shelf?
  • A. 16
  • B. 24
  • C. 64
  • D. 12
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