AP POLYCET MATHEMATICS Multiple Choice Questions (MCQs)

AP POLYCET Mathematics - Permutations and Combinations Multiple Choice Questions (MCQs)

91. What is the number of permutations of 5 objects taken 3 at a time?
    a) 60
    b) 120
    c) 10
    d) 30
    Answer: a) 60
92. In how many ways can 3 boys and 2 girls be arranged in a row?
    a) 60
    b) 120
    c) 10
    d) 48
    Answer: b) 120
93. How many ways can 4 people be seated in 4 chairs?
    a) 24
    b) 10
    c) 16
    d) 12
    Answer: a) 24
94. In how many ways can 5 books be arranged on a shelf?
    a) 120
    b) 24
    c) 60
    d) 48
    Answer: a) 120
95. How many ways can a committee of 3 members be chosen from a group of 10 people?
    a) 120
    b) 30
    c) 10
    d) 60
    Answer: b) 30
96. How many ways can 6 different letters be arranged in a word?
    a) 720
    b) 120
    c) 100
    d) 500
    Answer: a) 720
97. From a group of 8 men and 6 women, a committee of 4 men and 2 women is to be selected. How many ways can this be done?
    a) 5040
    b) 1680
    c) 360
    d) 1260
    Answer: b) 1680
98. How many ways can 3 identical balls be distributed among 4 boxes?
    a) 10
    b) 15
    c) 20
    d) 5
    Answer: b) 15
99. How many ways can 5 different books be arranged on a shelf if two specific books must be together?
    a) 120
    b) 60
    c) 24
    d) 30
    Answer: b) 60
100. How many ways can a president, vice-president, and secretary be elected from a group of 8 people?
     a) 336
     b) 56
     c) 48
     d) 72
     Answer: a) 336
101. In how many ways can the letters of the word "PROBABILITY" be arranged?
     a) 453600
     b) 39916800
     c) 40320
     d) 45360
     Answer: a) 453600
102. How many ways can 4 objects be selected from 7 distinct objects?
     a) 35
     b) 70
     c) 21
     d) 15
     Answer: c) 35
103. How many ways can a committee of 3 men and 2 women be formed from 6 men and 4 women?
     a) 100
     b) 80
     c) 60
     d) 120
     Answer: c) 60
104. A password consists of 3 letters followed by 4 digits. How many different passwords can be formed if repetition is allowed?
     a) 26,000
     b) 26,000,000
     c) 26,000,000,000
     d) 26,000,000,000,000
     Answer: c) 26,000,000,000
105. How many ways can 3 books be selected from a shelf of 8 books?
     a) 56
     b) 56,000
     c) 56,700
     d) 40
     Answer: a) 56

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