The ways are:-
1.lucy 9.uycl 17.clyu
2.lcuy 10.ulyc 18.cluy
3.lcyu 11.ucyl 19.yluc
4.luyc 12.uylc 20.ylcu
5.lyuc 13.cyul 21.yucl
6.lycu 14.cylu 22.yulc
7.ulcy 15.culy 23.yclu
8.ucly 16.cuyl 24.ycul
I am now going to use Ann a 3 letter word with 2 letters the same I will get 3 different ways.
The 3 way are:-
1.ann
2.nan
3.nna
I am now going to use Tom a 3 letter word with no letters the same I will get 6 different ways.
The ways are:-
1.tom 4.mot
2.tmo 5.otm
3.mto 6.omt
Now I am going to use AA a 2 letter word with 2 letters the same, I will get 1 arrangement.
The 1 arrangement is:-
1.aa
And Jo a 2 letter word with no letters the same gives 2 different ways.
The 2 different ways are:-
1.jo
2.oj
I predict that if I do a 5 letter word with 2 letters the same I will get 60 different arrangements my 6 letter word is Danny
The 60 arrangements are:-
1.danny 11.dnayn 21.annyd 31.ndayn 41.nndya 51.yadnn
2.danyn 12.dnany 22.anndy 32.ndnya 42.nnayd 52.ydnna
3.daynn 13.adnny 23.anydn 33.ndyan 43.nyand 53.ydnan
4.dynna 14.adnyn 24.andny 34.ndyna 44.nydna 54.ydann
5.dynna 15.adynn 25.nandy 35.ndnay 45.nydan 55.yndan
6.dynan 16.ayndn 26.naydn 36.ndany 46.nynad 56.ynnad
7.dnyan 17.aynnd 27.nanyd 37.nnyda 47.nydna 57.yndna
8.dnnay 18.aydnn 28.nadyn 38.nnyad 48.nyadn 58.ynand
9.dnyna 19.anydn 29.naynd 39.nnady 49.yannd 59.ynadn
10.dnnya 20.anynd 30.nadny 40.nnday 50.yandn 60.ynnda
I predict for a 6 letter word with no letters the same I would get 720 different arrangements. The way to do this is start from 1 and go all the way up to 6 and times them all together and you get the answer for example 1X2X3X4X5X6 =720 arrangements.
To find out the answer on a calculator the formula is :-
This is called factorial
Factorial is the product of all the positive ategers from 1 to a given number for example 4 factorial, usually written 4! Is product 1.2.3.4=24