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Permutations and Combinations MCQs

There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?

September 23, 2025 by Admin
A. 870
B. 435
C. 30!
D. 29! + 1
✅ The correct answer is option B. 435.

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Using all the letters of the word “NOKIA”, how many words can be formed, which begin with N and end with A?

September 23, 2025 by Admin
A. 3
B. 6
C. 24
D. 120
✅ The correct answer is option B. 6.

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A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?

September 23, 2025 by Admin
A. 300
B. 450
C. 600
D. 750
✅ The correct answer is option C. 600.

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The number of permutations of the letters of the word ‘MESMERISE’ is___________?

September 23, 2025 by Admin
A. 9!/(2!)2 3!
B. 9!/(2!)3 3!
C. 9!/(2!)2 (3!)2
D. 5!/(2!)2 3!
✅ The correct answer is option A. 9!/(2!)2 3!.

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A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?

September 23, 2025 by Admin
A. 150
B. 200
C. 250
D. 300
✅ The correct answer is option B. 200.

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The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.

September 23, 2025 by Admin
A. 4000
B. 2160
C. 4320
D. 5300
✅ The correct answer is option C. 4320.

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The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?

September 23, 2025 by Admin
A. 720
B. 144
C. 120
D. 36
✅ The correct answer is option B. 144.

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What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?

September 23, 2025 by Admin
A. 100
B. 60
C. 30
D. 20
✅ The correct answer is option C. 30.

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Find the number of ways of arranging the letters of the word “MATERIAL” such that all the vowels in the word are to come together?

September 23, 2025 by Admin
A. 720
B. 1440
C. 1860
D. 2160
✅ The correct answer is option B. 1440.
In the word, “MATERIAL” there are three vowels A, I, E.
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In how many ways can live boys and three girls sit in a row such that all boys sit together?

September 23, 2025 by Admin
A. 4800
B. 5760
C. 2880
D. 15000
✅ The correct answer is option C. 2880.

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