In how many different ways can the letters of the word SOFTWARE be arranged in such a way that the vowels always come together?

A 120
B 360
C 1440
D 13440
E 4320

Correct Answer: 4320

The given word contains 8 different letters.
We keep the vowels (OAE) together and treat them as 1 letter.
Thus, we have to arrange the 6 letters SFTWR(OAE)
These can be arranged in 6! = 720 ways
The vowels (OAE) can be arranged among themselves in 3! = 6 ways.
∴ Required number of ways = (720 × 6) = 4320
Bissoy MCQ
#Arithmetic Ability #Permutation And Combination

Related Questions

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
A 720
B 520
C 700
D 750
In how many different ways can the letters of the word BANKING be arranged in such a way 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 JUDGE be arranged in such a way 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 in such a way 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 'OPTICAL' be arranged so that the vowels always come together?
A 360
B 700
C 720
D 120
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
E None of these
In how many different ways can the letters of the word ‘TRANSPIRATION’ be arranged so that the vowels always come together?
A 2429500
B 1360800
C 1627800
D None of these
In how many different ways can the letters of the word CAPITAL be arranged so that the vowels always come together?
A 120
B 360
C 720
D 840
E None of these
In how many ways can the letters of the word MATHEMATICS be arranged so that all the vowels always come together?
A 10080
B 120960
C 4989600
D 21160
E None of these

Next steps