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There are 13 letters in "the world topic". This includes 2 ts and 2 os. Therefore there are 13!/[2!*2!] = 1556755200 different arrangements.
There are 12 two letter arrangements of the letters in PARK.
Assuming you don't repeat letters:* 7 options for the first letter * 6 options for the second letter * 5 options for the third letter * 4 options for the fourth letter (Multiply all of the above together.)
movie
10 x 9 x 8 = 720 different arrangements If the sequence doesn't matter, then there are (720/6) = 120 different bunches
120.
There are 13 letters in "the world topic". This includes 2 ts and 2 os. Therefore there are 13!/[2!*2!] = 1556755200 different arrangements.
There are 12 two letter arrangements of the letters in PARK.
432
That's eight letters, so: 8! = 40320 different arrangements. n! means "factorial", and the expression expands to n*(n - 1)*(n - 2) ... * 2 * 1
There are (1*5*4)*(3*2*1) = 120 arrangements.
Assuming you don't repeat letters:* 7 options for the first letter * 6 options for the second letter * 5 options for the third letter * 4 options for the fourth letter (Multiply all of the above together.)
720 (6 x 5 x 4 x 3 x 2)
19,275,223,968,000
20! = 2432902008176640000
As with the Roman alphabet, which you may be familiar with it (since you are using it to read this answer), different letters have different symmetries.
Words that can be made with the letters in 'gazebo' are:aageagobagbebegboabogegogabgazegogob