The answer is 5!, 5 factorial. This equals 5 X 4 X 3 X 2 X 1, which is 120.
There are 172 different arrangements.
There are 6! = 720 different arrangements.
The word "SMILE" consists of 5 distinct letters. The number of different arrangements of these letters can be calculated using the factorial of the number of letters, which is 5!. Therefore, the total number of arrangements is 5! = 120.
The word "BOX" consists of 3 distinct letters. The number of arrangements of these letters can be calculated using the factorial of the number of letters, which is 3! (3 factorial). Therefore, the total number of arrangements is 3! = 3 × 2 × 1 = 6. Thus, there are 6 possible arrangements of the letters in "BOX."
The word "SCARLET" consists of 7 unique letters. To find the number of different arrangements, we calculate the factorial of the number of letters, which is 7!. Therefore, the total number of arrangements is 7! = 5,040.
120
There are 172 different arrangements.
from itertools import permutationsfrom string import joinarrangements = [ ]for p in permutations ( 'ugccsir', 6 ) :arrangement = join ( p, '' )if 'ui' in arrangement :continueif not arrangement in arrangements :arrangements . append ( arrangement )print len ( arrangements )The above Python code gives a result of 2,220.
There are 5*4*3 = 60 arrangements.
There are 6! = 720 different arrangements.
64 different arrangements are possible.
The word "SMILE" consists of 5 distinct letters. The number of different arrangements of these letters can be calculated using the factorial of the number of letters, which is 5!. Therefore, the total number of arrangements is 5! = 120.
There are (1*5*4)*(3*2*1) = 120 arrangements.
The word "BOX" consists of 3 distinct letters. The number of arrangements of these letters can be calculated using the factorial of the number of letters, which is 3! (3 factorial). Therefore, the total number of arrangements is 3! = 3 × 2 × 1 = 6. Thus, there are 6 possible arrangements of the letters in "BOX."
There are 7!/(2!*2!) = 1260 arrangements.
The word "SCARLET" consists of 7 unique letters. To find the number of different arrangements, we calculate the factorial of the number of letters, which is 7!. Therefore, the total number of arrangements is 7! = 5,040.
6! = 6x5x4x3x2x1 = 720 arrangements