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1
If P( n, 5) = 20. P(n-3) , find n.
8
16
15
2
Compute the factorial of 6
24
120
720
5040
3
Compute factorial of 7
40320
362880
36288
4
If nPr = 360 , find r.
5
6
Compute the factorial of 8
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.
7
Find the number of different ways so that the numbers 3, 7, 5 and 9 can be arranged , taking two number at a time.
64
256
In a furniture shop there are 12 chairs and 15 tables. A customer can buy a chair and a table in how many ways ?
120 ways
180 ways
24 ways
27 ways
9
Compute the expression
210
2730
32760
360360
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
How many committee of five persons with a chairperson can be selected form 12 persons?
3965
3960
3300
3360
12
In how many ways can 6 persons stand in a queue?
360
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.
10 ways.
13 ways .
14
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 ?
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 ?
96
97
91
301
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
17
Which of the following statement is /are correct?
(a) There are 20 dancers and 8 non dancers . In 160 ways the choreographer can choose a dancer and a non dancer .
(b) In a bakery there are 5 cakes ,7 pastries and 4 swiss rolls . In 16 ways a customer can buy a cake , pastry and a swiss role .
Only (a) is correct.
Only (b) is correct.
Both (a) and (b) are correct.
18
Compute the following expression
30240
151200
50400
19
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
20
489
640
306
204