The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Pick
A) 14
B) 144
C) 777
D) 992
E) 221
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= 
<gadget id="calculator"> 24 * 6</gadget>
<output>144</output>
144.   Answer:144
<result>B</result>
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?