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1
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 ?
6
24
96
4
2
If 10Pr = 5040 , find the value of r.
16
10
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.
Compute factorial of 9
720
362880
40320
5040
5
There are 5 Mathematics books and 6 Physics books in a book shop. In how many ways a student can buy a mathematics book or a physics book?
6 ways.
11 ways.
If nPr = 360 , find r.
7
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.
8
In a class there are 5 boys and 5 girls. The teacher wants to select a boy and a girl to represent the class in a function. In how many ways can the teacher make this selection ?
25 ways.
9
Compute the expression
210
2730
32760
360360
How many committee of five persons with a chairperson can be selected form 12 persons?
3965
3960
3300
3360
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
There are 5 basket balls , 10 base balls and 2 cricket balls in a shop. In a how many ways players can buy three of them ?
100 ways.
17 ways.
13 ways .
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?
13 ways.
8 ways.
15
Which of the following statements are true:
1. In a class there are 10 boys and 8 girls. The teacher wants to select either a boy or a girl to represent the class in a function the teacher can perform this selection in 16 ways.
2. In a library there are 10 English and 5 Hindi books. The student has to select either a Hindi or English book, The student can perform this selection in 15 ways.
Only statement 1 is correct
Only statement 2 is correct
Both the statements are correct
Both the statements are incorrect
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
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.
18
Which of the following statement is/are correct?
(a) In a box there are 14 black balls, 10 yellow balls and 5 white balls. The number of outcome for selecting one of these balls is 29
(b) In library there are 12 Moral Science books, 5 General Science books. The number of ways in which a student can pick one of these books in 17 ways.
Both (a) and (b) are correct.
Only (a) is correct.
Only (b) is correct.
19
Find the total number of ways of answering five objective type questions each question having four choices.
256 ways.
3125 ways.
20
Compute the following expression
489
640
306
204