Latest A website Aptitude Question SOLUTION: In how many ways can the letters of the word ALLAHABAD be arranged so that the vowels can occupy only even positions.

• Placement Papers
• /
• A website
• /
• Category

A website Question Papers:

(#M40038108) A WEBSITE Category question Keep an EYE

In how many ways can the letters of the word ALLAHABAD be arranged so that the vowels can occupy only even positions.

Asked In A website Ramya (9 years ago)

Unsolved Read Solution (4)

Is this Puzzle helpful?   (9)   (3) Submit Your Solution

Read Solution (4) :

manoj kumar  (9 years ago)

vowelsare 4 =A,A,A,A
TOTAL 9 THEN 9-4=5
IN THAT L,L SO 5!/2!
4 VOWELS 4!/4!
(5!/2!) ANSWER

Is this solution Helpfull? Yes (3) | No (1)  

chandan kumar yadav  (9 years ago)

ans - 4*(5!/2!)

A L L A H A B A D

its a 9 letter word...so number of even positions=4
since there is only one vowel 4 times,,
so it will be arranged in 4!/4! ways,,,i.e 4 ways

number of odd places =5
among all the consonants present here only 'L' repeats ...
so number of ways of arranging 5 consonants in 5 places with having one repeated = 5!/2!

hence the solution is product of both the ways...i.e...4*(5!/2!)..

thank you

Is this solution Helpfull? Yes (2) | No (3)  

om anand  (9 years ago)

as there are 4 even position so
(5!*4!)/(4!*2!)=60
because no of a's and l's reppited 4 and 2 times respectively

Is this solution Helpfull? Yes (1) | No (1)  

kamalam  (9 years ago)

In the word ALLAHABAD there are 4 vowels and 5 consonants.
so the vowels can occupy 4 even positions.
and the consonants can occupy remaining 5 odd positions.
hence 4p4*5p5=2880

Is this solution Helpfull? Yes (1) | No (1)  

Please Login to Read Solution.