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1
Compute the factorial of 8
40320
5040
720
120
2
Compute factorial of 9
362880
3
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.
4
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.
5
A team of 5 boys is to be formed from 8 boys in which one boy is always included, what will be the total number of all possible arrangement?
4200
360
6
There are 5 story books and 10 moral books in a book shop. In how many ways a student can buy a story book and a moral a book?
10 ways.
50 ways .
7
What will be the total ways in which 4 letter words can be formed from the letters of word Delhi in which all vowels are always together ?
24
96
8
If 10Pr = 5040 , find the value of r.
16
10
9
How many committee of five persons with a chairperson can be selected form 12 persons?
3965
3960
3300
3360
Compute the expression
210
2730
32760
360360
11
42
44
26
12
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 ?
13
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.
14
Among the 36 teachers in a school , one principal and one vice principal is to be appointed . In how many ways can this be done ?
1260
15
There are four parcels and five post offices. In how many ways can the parcels be sent by registered post?
1024 ways.
625 ways.
20 ways.
All the five letters of the word TABLE are arranged to form different words without repeating any letter in any word. The words so formed are, then arranged as in dictionary. What will be the position of the word TABEL in that sequence ?
97
91
301
17
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.
18
Compute the following expression
30240
151200
50400
19
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
20
How many words, with or without meaning, can be formed using all the letters of the word 'EQUATION', using each letter exactly once.