Quantitative Aptitude - Permutations and Combinations
Exam Duration: 45 Mins Total Questions : 25
The values of \(^{75}P_{2}\) is :
- (a)
2775
- (b)
150
- (c)
5550
- (d)
None of these
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
How many words with or without meaning, can be formed by using all the letters of the word, 'DELHI' , using each letter exactly once ?
- (a)
10
- (b)
25
- (c)
60
- (d)
120
In how many ways can the letters of the word 'APPLE' be arrangned
- (a)
720
- (b)
120
- (c)
60
- (d)
180
- (e)
none of these
The how many ways can the letters of the word 'LEADER' be arranged?
- (a)
72
- (b)
144
- (c)
360
- (d)
720
- (e)
None of these
In how many different ways can the letters of the word 'RUMOUR' be arranged ?
- (a)
180
- (b)
90
- (c)
30
- (d)
720
- (e)
None of these
How many words can be formed by using all the letters of the word, 'ALLAHABAD' ?
- (a)
3780
- (b)
1890
- (c)
7560
- (d)
2520
- (e)
None of these
How many arrangement can be made out of the letters of the word 'ENGINEERING' ?
- (a)
277200
- (b)
92400
- (c)
69300
- (d)
23100
- (e)
None of these
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)
3600
- (e)
17280
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together ?
- (a)
120
- (b)
720
- (c)
4320
- (d)
2160
- (e)
None of these
In how many different ways can the letters of the word 'LEADING' be arranged so that the vowels always come together ?
- (a)
360
- (b)
480
- (c)
720
- (d)
5040
- (e)
None of these
In how many different ways can the letters of the word 'JUDGE' be arranged so that the vowels always come together ?
- (a)
48
- (b)
120
- (c)
124
- (d)
160
- (e)
None of these
In how many different ways can the letters of the word 'AUCTION' be arranged so that the vowels always come together ?
- (a)
30
- (b)
48
- (c)
144
- (d)
576
- (e)
None of these
In how many different ways can the letters of the word 'BANKING' be arranged so that the vowels always come together ?
- (a)
120
- (b)
240
- (c)
360
- (d)
540
- (e)
720
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?
- (a)
810
- (b)
1440
- (c)
2880
- (d)
50400
- (e)
5760
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
In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions ?
- (a)
32
- (b)
48
- (c)
36
- (d)
60
- (e)
120
In how many different ways can the letters of the word 'MACHINE' be arranged so that the vowels may occupy only the odd positions ?
- (a)
210
- (b)
576
- (c)
144
- (d)
1728
- (e)
3456
In how many ways can a group of 5 men and 2 women be made out of 7 men and 3 women ?
- (a)
63
- (b)
90
- (c)
126
- (d)
45
- (e)
135
In how many ways a commitee, consisting of 5 men and 6 women can be formed from 8 men and 10 women ?
- (a)
266
- (b)
5040
- (c)
11760
- (d)
86400
- (e)
None of these
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that a least 3 men are there on the committee. In how many ways can it be done ?
- (a)
564
- (b)
645
- (c)
735
- (d)
756
- (e)
None of these
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?
- (a)
159
- (b)
194
- (c)
205
- (d)
209
- (e)
None of these
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black is to be included in the draw ?
- (a)
32
- (b)
48
- (c)
64
- (d)
96
- (e)
None of these
How many 3-digit numbers can be formed the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?
- (a)
5
- (b)
10
- (c)
15
- (d)
20
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?
- (a)
210
- (b)
1050
- (c)
25200
- (d)
21400
- (e)
None of these