The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?  Choose the correct choice from the following:
A) 766 B) 144 C) 166 D) 416 E) 125
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?