Question
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Answer: Option B
THE WORD MEADOWS HAS 7 LETTERS OF WHICH 3 ARE VOWELS.
-V-V-V-
AS THE VOWELS HAVE TO OCCUPY EVEN PLACES, THEY CAN BE ARRANGED IN THE 3 EVEN PLACES IN 3! I.E., 6 WAYS. WHILE THE CONSONANTS CAN BE ARRANGED AMONG THEMSELVES IN THE REMAINING 4 PLACES IN 4! I.E., 24 WAYS.
HENCE THE TOTAL WAYS ARE 24 * 6 = 144.
Was this answer helpful ?
THE WORD MEADOWS HAS 7 LETTERS OF WHICH 3 ARE VOWELS.
-V-V-V-
AS THE VOWELS HAVE TO OCCUPY EVEN PLACES, THEY CAN BE ARRANGED IN THE 3 EVEN PLACES IN 3! I.E., 6 WAYS. WHILE THE CONSONANTS CAN BE ARRANGED AMONG THEMSELVES IN THE REMAINING 4 PLACES IN 4! I.E., 24 WAYS.
HENCE THE TOTAL WAYS ARE 24 * 6 = 144.
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution