How many arrangements of the letters of the word DEFEATED are there in which the three E are separated?
Choose the correct choice from the following answers.
A) 840  B) 750  C) 770  D) 760  E) 820
Total arrangements-Three E's together-Exactly Two E's together   Total arrangement= 8!/3!2!   Three E's together= 6!/2!   Exactly Two E's together= Two E's together - Three E's together = 7!/2!−6/!2!=6∗6!/2!   8!/3!2!−6!/2!−6∗6!/2!   8!/3!2!−7!/2!=7!/2!∗13=840   840ns: "840"	840
<result>A</result>
How many arrangements of the letters of the word DEFEATED are there in which the three E are separated?