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1
In a box there are 10 red balls and 5 white balls. The shopkeeper wants to withdraw either a red ball or a white ball to display in showcase. In how many ways the shopkeeper can make this selection ?
15 ways.
5 ways.
50 ways.
None of these.
2
In a school there are 15 candidates for Science scholarship and 20 candidates for English scholarship. In how many ways either of these scholarships will be awarded?
35 ways.
25 ways.
300 ways.
150 ways.
3
If there are 10 fountain pens and 12 ball point pens .In how many ways a person can buy a fountain pen and a ball pen ?
120 ways.
10 ways.
24 ways.
2 ways.
4
What will be the total ways in which 4 letter words can be formed from the letters of word MAHESH in which all vowels are always together?
12
6
68
72
5
Compute factorial of 9
720
362880
40320
5040
Find the number of different ways so that the numbers 3, 7, 5 and 9 can be arranged , taking two number at a time.
16
64
256
7
If P(n , 4) = 20 X P(n , 2) , Find n.
8
Compute the factorial of 6
24
120
9
All the three letters of the TAB are arranged to form different words without repeating any letter in an one word. The words so formed are, then arranged as in dictionary. What will be the position of the word TAB in that sequence ?
10
How many committee of five persons with a chairperson can be selected form 12 persons?
3965
3960
3300
3360
11
Compute the expression
42
44
26
210
2730
32760
360360
13
In how many ways can 6 persons stand in a queue?
360
14
In a book store there are 5 story books, 6 magazines and 2 English books . In how many ways the shopkeeper can give one of the three books to a child?
11 ways.
13 ways.
8 ways.
15
Find the total number of ways of answering five objective type questions each question having four choices.
625 ways.
1024 ways.
256 ways.
3125 ways.
Compute the following expression
489
640
306
204
17
How many words, with or without meaning, can be formed using all the letters of the word 'EQUATION', using each letter exactly once.
18
How many four letter words , with or without meaning , can be formed out of the letters of the word , 'LOGARITHMS' , if repetition of letters is not allowed?
3628800
19
Which of the following statement is/are correct?
(a) In a class there are 4 boys and 3 girls. Teacher wants to select a boy or a girl . Teacher can make selection in 12 ways.
(b) In a shop there are 5 candies and 5 chocolates. A child wants to have a candy or a chocolate. A child can have a candy or a chocolate in 25 ways.
Both (a) and (b) are correct .
Only (a) is correct.
Only (b) is correct.
20
Find the number of arrangements of the letters of the word INDEPENDENCE. In how many of these arrangements
(i) do the words start with P
(ii) do all the vowels always come together
1386 , 186
1680 , 13860
138600 , 16800
16800 , 138600