31.How many arrangements of the
letters of the word ‘BENGALI’ can be made
(i) If the vowels are never
together.
(ii) If the vowels are to
occupy only odd places.
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32.How many words can be formed
from the letters of the word 'SIGNATURE' so that the vowels always come
together?
A. 720 B.
1440
C. 2880 D.
17280
33.How many arrangements can be
mado out of the letters of the word 'ENGINEERING' ?
A.
277200 B. 92400
C.
69300 D. 23100
34.Find the number of subsets of the set {1,2,3,4,5,6,7,8,9,10,11} having 4 elements.
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35. In how many different ways
can the letters of the word 'MATHEMATICS' be arranged so that the vowels always
come together?
A. 10080 B. 4989600
C. 120960 D. None of these
36.A man
has 10 friends whom he wants to invite for dinner. The number of ways in which
he can invite at least one of them is:
[1] 1024
[2]
10!
[3]
1023
[4]10!
37.How
many words with or without meaning, can be formed by using all the letters of
the word, 'DELHI' using all the letters of the word 'DELHI' using each letter
exactly once?
A. 10 B.
25
C. 60 D.
120
38.A
question paper has 5 multiple choice questions and 5 true or false questions.
Each multiple choice question is provided with 3 choices. Find the number of
ways that an examinee can attempt one or more questions of the given 10
questions.
(1)310 (2)65-1
(3) 85 -1 (4) 125 -1
39.How
many 4-letter words with or without meaning, can be formed out of the letters
of the word, 'LOGARITHMS', if repetition of letters is not allowed?
A. 40 B.
400
C. 5040
D. 2520
40..How
many words can be formed by using all the letters of the word,
“
EXCELLENCE “. ?
a.36800
b.37800
c.38800
d.39800
