The number of permutations of the letters of the word ‘MESMERISE’ is___________?
A. 9!/(2!)2 3!
B. 9!/(2!)3 3!
C. 9!/(2!)2 (3!)2
D. 5!/(2!)2 3!
Basic Arithmetic
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most__________?
A. 216
B. 243
C. 215
D. 729
The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?
A. (6!)2
B. 6! * ⁷P₆
C. 2(6!)
D. 6! * 7
Using all the letters of the word “NOKIA”, how many words can be formed, which begin with N and end with A?
A. 3
B. 6
C. 24
D. 120
What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
A. 100
B. 60
C. 30
D. 20
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
A. 165
B. 185
C. 205
D. 225
How many three letter words are formed using the letters of the word TIME?
A. 12
B. 20
C. 16
D. 24
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?
A. 150
B. 200
C. 250
D. 300
Using all the letters of the word “THURSDAY”, how many different words can be formed?
A. 8
B. 8!
C. 7!
D. 7
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
Explanation: