**Q.1 Value of 1/8! + 1/9! + 1/10! ?**

A) 100 / 10!

B) 90/10!

C) 101/10!

D) 100/11!

View Answer**Q.2 In a railway compartment, 6 seats are vacant on a bench. In how many ways can
3 passengers sit on them? **

a) 110

b) 120

c) 100

d) 22

**Q.3 John wants to go abroad by ship and return by air. He has a choice of 6 different
ships to go and 4 airlines to return. In how many ways can he perform his journey?**

a) 10

b) 11

c) 21

d) 24

**Q.4 There are 4 routes between Delhi and Mumbai. In how many different ways
can a mango from Delhi to Mumbai and return, if for returning
(i) any of the routes is taken (ii) the same route is not taken.**

a) 16, 12

b) 18, 12

c) 14, 12

d) 12, 16

**Q.5 There are 6 multiple-choice questions in an examination. How many sequences
of answers are possible, if the first three questions have 4 choices each and the next
three have 5 choices each?**

a) 12000

b) 4000

c) 8000

d) 3000

**Q.6 How many 3-digit even positive numbers can be formed from the digits 0 to 9, if
the digits can be repeated.**

a) 328

b) 450

c) 150

d) 110

**Q.7 How many words can be formed out of the letters of the word ‘SMILE’ taking all
the letters at a time (no letter being repeated)? **

a) 125

b) 190

c) 120

d) 180

**Q.8 The number of words which can be formed out of the letters of the word ARTICLE,
so that vowels occupy the even place is**

a) 152

b) 190

c) 144

d) 122

**Q.9 The number of six letter words that can be formed using the letters of the word
“assist” in which s′s alternate with other letters is**

a) 12

b) 42

c) 15

d) 14

**Q.10 In a colony, there are 55 members. Every member posts a greeting card to all the
members. How many greeting cards were posted by them?**

a) 990

b) 890

c) 2970

d) 1980

**Q.11 Find the number of ways of arranging the letters of the words DANGER, so
that no vowel occupies odd place.**

a) 36

b) 48

c) 144

d) 96

**Q.12 Find the number of 5 letter words that can be formed from word IMAGE using**

**permutations if repetition is allowed.**

a) 25

b) 120

c) 125

d) 3125

**Q.13 Find the number of 5 letter words which can be formed from word IMAGE**

**without repetition using permutations. **

a) 20

b) 60

c) 120

d) 240

**Q.14 Find the number of different 8-letter arrangements that can be made from the**

**letters of the word EDUCATION so that all vowels occur together. **

a) 40320

b) 37440

c) 1440

d) 2880

**Q.15 How many 4 letter code words are possible using the first 10 letters of English**

**alphabets if**

**(i) no letter can be repeated (ii) letters are repeated**

a) 7200, 10000

b) 5040, 10000

c) 4050, 10000

d) 5440, 12000