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Numerical Ability
Permutation and Combination
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) 360
b) 720
c) 480
d) 5040
Read Solution (Total 9)
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- 720.
vowels always come together therefore A, E, I are taken as ONE leter. so there are 5! ways of arranging 5 letters.
also A, E, I can be arranged in 3!ways among themselves.
so, total ways of arranging L E A D I N G = 5! * 3! = 120 * 6 = 720. - 11 years agoHelpfull: Yes(27) No(0)
- LEADING=(LDNG)(AEI)=(5!)(3!)=720
- 11 years agoHelpfull: Yes(10) No(0)
- LDNG(EDI)
5!*3!=120 - 11 years agoHelpfull: Yes(1) No(7)
- ans.-720
we have to arrange he letters LDNG(EAI)..
5 letters can be arranged in 5! ways=120..
vowels can be arranged in 3! ways=6..
so number of ways=120*6=720.. - 11 years agoHelpfull: Yes(1) No(0)
- 5! !3=720
ans 720 - 11 years agoHelpfull: Yes(1) No(0)
- 5!*3!=720
- 11 years agoHelpfull: Yes(1) No(0)
- 5!*3!=720 ways
- 11 years agoHelpfull: Yes(1) No(0)
- There are 3 vowels so consider it as 1 word
so 5!*3!=720 - 11 years agoHelpfull: Yes(0) No(1)
- 3 vowel arrange as 3!
4 consonant + 1 can be arranger as 5!
So, total no. of way= 5!*3!= 120*6= 720 - 11 years agoHelpfull: Yes(0) No(0)
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