Question

How many 8 letter arrangements are possible using the letters of the word DECAGON if the letters A, E and O must occupy the third, fifth and sixth positions respectively and the letters remaining may be used more than once?

Answer 1

4!

Answer 2

sorry, that is wrong.

Answer 3

isn't it 5!

Answer 4

nopee.

Answer 5

Decagon has 7 letters. I counted as 8. Old age.

Answer 6

oh letters used more than once

Answer 7

yea - me too!

Answer 8

\[
4^5
\]

Answer 9

nope.

Answer 10

You have 5 slots left.
You can have 4 choice for each slot. So you have \(4^5\) choices.

Answer 11

that is also what i got, but the answer says 256 which is 4^4

Answer 12

unfortunately there is five spaces.

Answer 13

so 4^5, which is weird.

Answer 14

as there are totally 8 places
as three places are alredy fixed =1 *1*1=1 way
so remaining 5 places can be may be used more than once in4^5 ways=1024 ways

Answer 15

yes but the problem now is the answer says 256.

Answer 16

The answer is wrong.