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1.
How many 5-digit numbers more than 60000 can be formed by using the digits 1,3,5,7,81452
1450
1670
1250
2.
In how many ways can the letters of the word 'TOGETHER' be arranged so that O and G are always
together?
7!
6!
5!
2520
3.
How many 4-digit numbers are there where each digit is different?
4537
4538
4539
4536
4.
In how many ways can 6-different balls be distributed among three boxes?
6 p 3
6c3
6^ 3
3 ^6
5.
A letter lock consists of five rings each marked with 10 different letters. In how many ways it is possible
to make an unsuccessful attempt to open the lock.
99999
9999
999
99
6.
There are 20 books on Mathematics and 25 books on Physics in a book shop. In how many ways can a
student buy: (i) A Maths book and a Physics book (ii) Either a Maths book or a Physics book
600,50
100,60
500,45
none
7.
A customer forgets a 5-digit code for an Automatic Teller Machine in a bank, he remembers that this
code consist of digits 2,3,4,5,6. Find the largest possible no. of trails necessary to obtain the correct
code.
80
160
60
120
8.
Find the no. of different 3 letter words, with or without meanings that can be formed from the letters of
the word "CHAIR"
60
72
84
96
9.
In how many ways 6-different rings can be worn in 8-fingers with atmost one on each finger?
9!
7!
8!
None of the mentioned options
10.
How many 5-digit numbers are there?
99999
90000
10000
none
11.
How many words can be formed by the letters of the word "FRIEND" when each word begins with F and
ends with D?
8!
7!
4!
5!
12.
The no. of ways in which 8-different books can be distributed among 5-students is.
8^5
8!
5!
5^8
13.
From Goa to Bombay there are 6 routes. From Bombay to Delhi there are two routes. From Goa to Delhi
via Bombay, how many different routes are there?
11
23
15
12
14.
How many numbers of 5-digits can be formed from the digits 0, 1, 2, 3, 4 when no digit is repeated? How
many of them are divisible by 10?
26
24
25
none
15.
A room has 8 doors. In how many ways can a man enter the room through one door and come out
through a different door?
45
75
56
none
16.
Three men have 4-coats, 6 twist coats and 7 caps. In how many ways can they wear them?
604800
704800
804800
None of the mentioned options
17.
Three books one each in Chemistry, Biology and Maths are to be arranged in a shelf. In how many ways
can this be done?
1
6
7
none
18.
There are 23 true or false questions. The no. of ways which they can be answered is:
23^2
23!
2!
2^23
19.
How many words can be formed by the letters of the word "SUBJECT" when there is no restriction on
letters?
4!
5!
7!
none
20.
In how many ways can 3-letters be posted in 2 letter boxes?
3!
2^ 3
3^ 2
1/2
21.
How many 3-digit odd numbers are there without repetition?
550
780
540
320
22.
How many 3 digit numbers are there with at least one digit repeated?
252
232
272
292
23.
There are 50 points in a plane, in which 17 are co-linear. How many straight lines are drawn from a pair of
points?
478!
25C13
25C13 -1
50C2- 17C2+1
24.
From among 52 teachers in a college 1 principal, 1 vice-principal and the teacher in-charge are to be
appointed. In how many ways can this to be done?
132600
132660
132450
132470
25.
How many words with or without meaning can be formed by using the letters of the word "PEN".
4!
5!
6!
3!
26.
In how many ways can the letters of the word BINDU be arranged. So that N and D are always together?
5!8!
9!7!
2!6!
4!2!
27.
How many words can be formed with the letters of the word ARTICLE . So that (i) The vowels always
come together (ii) The vowels never come together
5!, 7!
5!3!, 7!- (5!*3!)
7!, 8!
none
28.
In how many ways can the letters of the word PLACE be arranged, so that E is always next to A?
5!
9!
4!
None
29.
How many 3 letter words can be formed using m,n,o,p,q if (i) Repetition is not allowed. (ii) Repetition is
allowed.
450,789
60,125
70,125
none
30.
How many words can be formed from the letters of the word "BEGIN"? How many of these will begin with
B end with N?
5!
4!
7!
3!
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