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Quiz 6
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Q.1
How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?
16
C
7
× 7!
12
C
4
×
4
C
3
× 7!
12
C
3
×
4
C
4
11
C
4
×
4
C
3
Q.2
In a certain laboratory, chemicals are identified by a colour-coding system. There are 20 different chemicals. Each one is coded with either a single colour or a unique two-colour pair. If the order of colours in the pairs does not matter, what is the minimum number of different colours needed to code all 20 chemicals with either a single colour or a unique pair of colours?
7
6
5
8
Q.3
Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
2
10
2
9
3 × 2
8
None of these
Q.4
In how many ways can the letters of the word ‘MOMENT’ be arranged?
360
60
720
120
Q.5
There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers?
2 × 17!
18! × 18
19! × 18
2 × 18!
2 × 17! × 17!
Q.6
In how many different ways can the letters of the word ENGINEERING be arranged?
277200
92400
69300
23100
None of these
Q.7
In how many different ways can the letters of the word CORPORATION be arranged so that the vowels may occupy only the odd positions?
810
1440
2880
50400
None of these
Q.8
In how many different ways can the letters of the word SOFTWARE be arranged in such a way that the vowels always come together?
120
360
1440
13440
4320
Q.9
A committee of 5 members is to be formed by selecting out of 4 men and 5 women. In how many different ways the committee can be formed if it should have at least 1 man?
115
120
125
140
None of these
Q.10
In how many ways can the letters of the word MATHEMATICS be arranged so that all the vowels always come together?
10080
120960
4989600
21160
None of these
Q.11
A select group of 4 is to be formed from 8 men and 6 women in such a way that the group must have at least 1 women. In how many different ways can it be done ?
364
728
931
1001
None of these
Q.12
In how many different ways can the letters of the word AUCTION be arranged in such a way that the vowels always come together?
30
48
144
576
None of these
Q.13
In how many different ways can the letters of the word MACHINE be arranged so that the vowels may occupy only the odd positions?
210
576
144
1728
3456
Q.14
a, b, c, d and e are five natural numbers. Find the number of ordered sets (a, b, c, d, e) possible such that a + b + c + d + e = 64.
64
C
5
63
C
4
65
C
4
63
C
5
Q.15
In how many different ways can the letters of the word JUDGE be arranged in such a way that the vowels always come together?
48
120
124
160
None of these
Q.16
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
45
63
90
126
None of these
Q.17
In how many different ways can the letters of the word DISPLAY be arranged?
720
1140
2520
5040
None of these
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