The number of 5 letter arrangements of the letters in the word DANNY is the same as the number of permutations of 5 things taken 5 at a time, which is 120. However, since the letter N is repeated once, the number of distinct permutations is one half of that, or 60.
Algorithm is the only nine letter word.
There are 172 different arrangements.
120
the arrangements occur. if there are two of the same letter then 12 all different letters then 24 three letters the same then 5 four letters the same then 1
There are 5!/2! = 60 arrangements.
That's eight letters, so: 8! = 40320 different arrangements. n! means "factorial", and the expression expands to n*(n - 1)*(n - 2) ... * 2 * 1
5*4=20
8 different 4-letter words can be formed from the letters of the word "Nation".
720 (6 x 5 x 4 x 3 x 2)
There are 12 two letter arrangements of the letters in PARK.
If the first letter must be either W or K, there are 2 choices for the first letter. For the remaining 4 letters, since repeats are allowed, each can be any of the 26 letters in the alphabet. Therefore, the total number of arrangements is (2 \times 26^4), which equals (2 \times 456976 = 913952).
The word "candy" consists of 5 distinct letters: c, a, n, d, and y. To find the number of different two-letter arrangements, we can choose 2 letters from the 5 and then arrange them. The number of ways to choose 2 letters from 5 is given by the combination ( \binom{5}{2} = 10 ), and since each pair can be arranged in ( 2! = 2 ) ways, the total number of two-letter arrangements is ( 10 \times 2 = 20 ). Thus, there are 20 different two-letter arrangements.