120.
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 26 different letters that can be chosen for each letter. There are 10 different numbers that can be chosen for each number. Since each of the numbers/digits that can be chosen for each of the six "spots" are independent events, we can multiply these combinations using the multiplicative rule of probability.combinations = (# of different digits) * (# of different digits) * (# of different digits) * (# of different letters) * (# of different letters) * (# of different letters) = 10 * 10 * 10 * 26 * 26 * 26 = 103 * 263 = 1000 * 17576 = 17,576,000 different combinations.
6 factorial which is 720 words... but some of them may not be meaningful.. if s can occupy 6 positions, c can occupy 5, h can occupy 4,o can occupy 3 , other o can occupy 2,l can only 1... using multiplicative principle 1X2X3X4X5X6=720
The answer would be 210
There are 13 letters in "the world topic". This includes 2 ts and 2 os. Therefore there are 13!/[2!*2!] = 1556755200 different arrangements.
None
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