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1
If nPr = 360 , find r.
5
4
3
6
2
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
68
72
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
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
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
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.
7
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 .
8
If P( n, 5) = 20. P(n-3) , find n.
15
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
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 .
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
720
40320
In how many ways can 6 persons stand in a queue?
13
Compute the expression
210
2730
32760
360360
14
How many committee of five persons with a chairperson can be selected form 12 persons?
3965
3960
3300
3360
Compute the following expression
30240
151200
50400
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.
17
489
640
306
204
18
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
19
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.
None of these.
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