The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Options:
A . 720
B . 144
C . 120
D . 36
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.
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