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1
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?
120
4200
5040
360
2
Compute factorial of 7
40320
362880
36288
3
If nPr = 360 , find r.
5
4
6
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 ?
10 ways.
25 ways.
5 ways.
15 ways.
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?
50 ways .
If P(n , 4) = 20 X P(n , 2) , Find n.
7
12
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?
68
72
8
Compute factorial of 9
720
9
How many committee of five persons with a chairperson can be selected form 12 persons?
3965
3960
3300
3360
10
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.
None of these.
11
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
In how many ways can 6 persons stand in a queue?
13
If there are 12 questions in ch-1,18 questions in ch-2 and 15 questions in ch-3. In how many ways teacher can select a question from any one of the 3 chapters?
45 ways.
65 ways.
216 ways.
180 ways.
14
Compute the expression
42
24
44
26
15
In a class of 10 students there are 3 girls. In how many ways can they be arranged in a row such that no two of the three girls are consecutive ?
336
1693440
16
How many words, with or without meaning, can be formed using all the letters of the word 'EQUATION', using each letter exactly once.
17
Compute the following expression
489
640
306
204
18
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.
19
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.
20
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