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Permutation and Combination

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Q. How many ways can 6 people be seated in a row if two specific people must sit together?
  • A. 120
  • B. 720
  • C. 600
  • D. 480
Q. How many ways can 7 different books be arranged on a shelf if 2 specific books must be together?
  • A. 720
  • B. 1440
  • C. 5040
  • D. 840
Q. How many ways can a committee of 3 be formed from 10 people?
  • A. 120
  • B. 90
  • C. 100
  • D. 80
Q. How many ways can a committee of 3 be formed from 8 people?
  • A. 56
  • B. 48
  • C. 40
  • D. 36
Q. How many ways can the letters of the word 'BANANA' be arranged?
  • A. 60
  • B. 30
  • C. 20
  • D. 10
Q. How many ways can you arrange the letters of the word 'MATH'?
  • A. 24
  • B. 12
  • C. 16
  • D. 20
Q. How many ways can you choose 2 fruits from 5 different fruits?
  • A. 10
  • B. 5
  • C. 15
  • D. 20
Q. How many ways can you choose 2 toppings from 5 available toppings for a pizza?
  • A. 10
  • B. 15
  • C. 20
  • D. 5
Q. How many ways can you choose 4 cards from a deck of 52 cards?
  • A. 270725
  • B. 1001
  • C. 1300
  • D. 2000
Q. How many ways can you choose 4 students from a class of 12?
  • A. 495
  • B. 300
  • C. 400
  • D. 600
Q. How many ways can you form a committee of 3 from 8 people?
  • A. 56
  • B. 28
  • C. 36
  • D. 48
Q. How many ways can you select 3 out of 7 different colored shirts?
  • A. 35
  • B. 21
  • C. 7
  • D. 14
Q. How many ways can you select 4 cards from a deck of 52 cards?
  • A. 270725
  • B. 130816
  • C. 22100
  • D. 10000
Q. If a committee of 4 is to be formed from 8 people, how many different committees can be formed?
  • A. 70
  • B. 56
  • C. 28
  • D. 36
Q. If a committee of 4 members is to be formed from 8 people, how many different committees can be formed?
  • A. 70
  • B. 56
  • C. 28
  • D. 12
Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed using the first 5 letters and 5 digits?
  • A. 2500
  • B. 5000
  • C. 12500
  • D. 15000
Q. If a password consists of 3 letters followed by 2 digits, how many different passwords can be formed?
  • A. 175760
  • B. 456976
  • C. 1000
  • D. 100
Q. In how many ways can 2 boys and 2 girls be selected from 5 boys and 4 girls?
  • A. 60
  • B. 40
  • C. 20
  • D. 30
Q. In how many ways can 2 boys and 3 girls be selected from 5 boys and 6 girls?
  • A. 100
  • B. 120
  • C. 150
  • D. 200
Q. In how many ways can 2 out of 5 different fruits be selected?
  • A. 10
  • B. 15
  • C. 20
  • D. 5
Q. In how many ways can 3 different prizes be awarded to 5 students?
  • A. 60
  • B. 100
  • C. 30
  • D. 20
Q. In how many ways can 3 different trophies be awarded to 10 students?
  • A. 720
  • B. 1000
  • C. 120
  • D. 300
Q. In how many ways can 3 prizes be distributed among 5 students if each student can win more than one prize?
  • A. 125
  • B. 243
  • C. 1250
  • D. 100
Q. In how many ways can 3 students be selected from a group of 10?
  • A. 120
  • B. 90
  • C. 100
  • D. 80
Q. In how many ways can 4 different books be chosen from a shelf of 10?
  • A. 210
  • B. 120
  • C. 60
  • D. 30
Q. In how many ways can 4 different colored balls be arranged in a row?
  • A. 16
  • B. 24
  • C. 32
  • D. 48
Q. In how many ways can 4 different prizes be awarded to 10 students?
  • A. 5040
  • B. 720
  • C. 100
  • D. 40
Q. In how many ways can 4 people be seated at a round table?
  • A. 24
  • B. 12
  • C. 6
  • D. 4
Q. In how many ways can 5 books be arranged on a shelf?
  • A. 120
  • B. 60
  • C. 24
  • D. 30
Q. In how many ways can 5 different books be arranged on a shelf if 2 specific books must be together?
  • A. 48
  • B. 120
  • C. 60
  • D. 24
Showing 31 to 60 of 75 (3 Pages)
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