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1
Find the number of different ways so that the numbers 3, 7, 5 and 9 can be arranged , taking two number at a time.
4
16
64
256
2
If P( n, 5) = 20. P(n-3) , find n.
8
15
3
Compute the factorial of 6
24
120
720
5040
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
96
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?
5 ways.
6 ways.
11 ways.
None of these.
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 .
15 ways.
7
Compute factorial of 9
362880
40320
Compute factorial of 7
36288
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
How many committee of five persons with a chairperson can be selected form 12 persons?
3965
3960
3300
3360
11
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.
12
In how many ways can 6 persons stand in a queue?
360
13
Compute the expression
42
44
26
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
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.
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.
25 ways.
17
Compute the following expression
30240
151200
50400
18
How many words, with or without meaning, can be formed using all the letters of the word 'EQUATION', using each letter exactly once.
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
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 .