document.write( "Question 950954: in how many ways cold the letters in the word \"storage\" be arranged if the vowels must remain in
\n" ); document.write( "a)even positions?
\n" ); document.write( "b)odd positions?
\n" ); document.write( "c)even or odd positions?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #580719 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
in how many ways cold the letters in the word \"storage\" be arranged if the
\n" ); document.write( "vowels must remain in
\n" ); document.write( "a)even positions?
There are three vowels {o,a,e} and 4 consonants {s,t,r,g}\r\n" );
document.write( "\r\n" );
document.write( "These would would have the form\r\n" );
document.write( "\r\n" );
document.write( "CVCVCVC \r\n" );
document.write( "\r\n" );
document.write( "where C represents a consonant and V a vowel.\r\n" );
document.write( "\r\n" );
document.write( "Answer 4!3! = 144 ways.
b)odd positions?
\r\n" );
document.write( "There are 4 odd positions, 1st, 3rd, 5th, and 7th.\r\n" );
document.write( "\r\n" );
document.write( "Thats 4C3 = 4 ways to choose the positions for\r\n" );
document.write( "the vowels: VCVCVCC, VCVCCCV, VCCCVCV, CCVCVCV\r\n" );
document.write( "\r\n" );
document.write( "For each of these 4 ways there are 4!3! = 144 ways to arrange them.\r\n" );
document.write( "\r\n" );
document.write( "Answer: (4C3)(4!3!) = 4(144) = 576.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );