JEE (Main) Mathematics - Permutations and Combinations MCQs
61. What is the number of ways to arrange 3 objects from a set of 6 distinct objects?
Answer: a) P(6, 3)
62. How many ways can 5 people be arranged in a row from a group of 7 distinct people?
Answer: a) P(7, 5)
63. How many ways can 4 objects be selected from a set of 8 distinct objects?
Answer: b) C(8, 4)
64. A committee of 3 men and 2 women is to be formed from a group of 6 men and 5 women. How many different ways can this be done?
Answer: a) C(6, 3) × C(5, 2)
65. The number of ways to arrange 4 objects out of 6 distinct objects in a row is given by:
Answer: a) P(6, 4)
66. In how many ways can 3 objects be selected from 10 distinct objects?
Answer: a) C(10, 3)
67. The number of ways to select 5 objects from a set of 10 distinct objects is given by:
Answer: a) C(10, 5)
68. How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 if repetition is allowed?
Answer: a) P(5, 3)
69. The number of ways to arrange 5 objects out of 9 distinct objects is:
Answer: a) P(9, 5)
70. How many different ways can 4 people be arranged in a line from a group of 7 people?
Answer: a) P(7, 4)
71. How many ways can 2 men and 3 women be selected from a group of 6 men and 8 women?
Answer: a) C(6, 2) × C(8, 3)
72. The number of ways to arrange 2 objects from 6 distinct objects is given by:
Answer: a) P(6, 2)
73. The number of ways to arrange 3 distinct objects out of 5 is:
Answer: a) P(5, 3)
74. How many ways can 5 objects be selected from 9 distinct objects?
Answer: a) C(9, 5)
75. How many ways can 2 men and 3 women be selected from a group of 5 men and 7 women?
Answer: a) C(5, 2) × C(7, 3)
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