Twelve people from a club, by picking lots. One of them will host a dinner for all once in a month. The number of dinners a particular member has to host in one year is________?
A. One
B. Zero
C. Three
D. Cannot be determined
In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?
A. 9
B. 12
C. 14
D. 18
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
A. 63
B. 90
C. 126
D. 45
How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?
A. 40
B. 400
C. 5040
D. 2520
In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?
A. 10080
B. 4989600
C. 120960
D. None of these
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
There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?
A. 870
B. 435
C. 30!
D. 29! + 1
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
How many three letter words are formed using the letters of the word TIME?
A. 12
B. 20
C. 16
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
