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(#M40040708) INFOSYS Numerical Ability question Permutation and Combination Keep an EYE

How many ways can one arrange the word EDUCATION such that relative positions of vowels and consonants remains same?

Asked In Infosys osin (10 years ago)

Unsolved Read Solution (11)

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Read Solution (11) :

balaji  (10 years ago)

5!*4!=120*24=2880

Is this solution Helpfull? Yes (26) | No (2)  

Rohan Jain  (10 years ago)

The word EDUCATION is a 9 letter word, with none of the letters repeating.

The vowels occupy 3, 5, 7th and 8th position in the word and the remaining 5 positions are occupied by consonants

As the relative position of the vowels and consonants in any arrangement should remain the same as in the word EDUCATION, the vowels can occupy only the aforementioned 4 places and the consonants can occupy 1st, 2nd, 4th, 6th and 9th positions.

The 4 vowels can be arranged in the 3rd, 5th, 7th and 8th position in 4! Ways.

Similarly, the 5 consonants can be arranged in 1st, 2nd, 4th, 6th and 9th position in 5! Ways.

Hence, the total number of ways = 4! * 5! = 2880

Is this solution Helpfull? Yes (11) | No (7)  

Anand  (10 years ago)

here total vowel = 5 so they can arrange in 5! ways
and constant= 4 so they can arrange in 4! ways
so total np of ways= 5! X 4!=2880

Is this solution Helpfull? Yes (9) | No (2)  

m teja  (10 years ago)

ans:
2*5!*4!

Is this solution Helpfull? Yes (4) | No (9)  

Subrata Sarkar  (10 years ago)

5P5*4P4
= 5!*4!
=2880

Is this solution Helpfull? Yes (2) | No   

saheli guha  (10 years ago)

5! Vowel
4!consonant
Multiply them =2880

Is this solution Helpfull? Yes (1) | No   

ravi prakash  (10 years ago)

arragement will be 5! ways for vowel
and 4! ways for consonent
so 5!*4!=2880 ways

Is this solution Helpfull? Yes (1) | No   

mounika  (10 years ago)

total 5!*5!
dctn are consonents * vowels (4+1)!*(5!)

Is this solution Helpfull? Yes (1) | No   

Subrata Sarkar  (10 years ago)

5P5*4P4
= 5!*4!
=2880

Is this solution Helpfull? Yes | No   

akarsh  (10 years ago)

total number of ways= 5! X 4!=2880

Is this solution Helpfull? Yes | No   

RISHABH GUPTA  (9 years ago)

5!+4!+4!+3!+3!+2!+2!+1!+1!= 186

Is this solution Helpfull? Yes | No (2)  

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