A code is to be made by arranging 8 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, two of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?
Select:  A) 42  B) 210  C) 420  D) 840  E) 6,720
we have 8 letters out of which 3 are of one kind, 1 are of another kind..   so total ways = 8!/3!1!=6720   ans 6,720
<result>E</result>
A code is to be made by arranging 8 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, two of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?