A. 300
B. 600
C. 750
D. 900
✅ The correct answer is option B. 600.
Permutations and Combinations MCQs
How many three letter words are formed using the letters of the word TIME?
A. 12
B. 20
C. 16
D. 24
✅ The correct answer is option D. 24.
Using all the letters of the word “THURSDAY”, how many different words can be formed?
A. 8
B. 8!
C. 7!
D. 7
✅ The correct answer is option B. 8!.
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
A. 21
B. 12
C. 9
D. 108
✅ The correct answer is option D. 108.
The boy can select one trouser in nine ways.
The boy can select one trouser in nine ways.
In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?
A. 120
B. 720
C. 4320
D. 2160
✅ The correct answer is option B. 720.
A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
A. 20
B. 54
C. 42
D. 60
✅ The correct answer is option A. 20.
The number of new words that can be formed by rearranging the letters of the word ‘ALIVE’ is__________?
A. 24
B. 23
C. 119
D. 120
✅ The correct answer is option C. 119.
Number of words which can be formed = 5! – 1 = 120 – 1 = 119.
Number of words which can be formed = 5! – 1 = 120 – 1 = 119.