The word "banana" consists of 6 letters, with the letter "a" appearing 3 times, "n" appearing 2 times, and "b" appearing once. To find the number of unique arrangements, you can use the formula for permutations of multiset: ( \frac{n!}{n_1! \times n_2! \times n_3!} ), where ( n ) is the total number of letters, and ( n_1, n_2, n_3 ) are the counts of each distinct letter. This gives ( \frac{6!}{3! \times 2! \times 1!} = 60 ) unique arrangements of the letters in "banana."
There are 3360 ways.
The word "house" has 5 distinct letters. The number of ways to arrange these letters is calculated using the factorial of the number of letters, which is 5! (5 factorial). This equals 5 × 4 × 3 × 2 × 1 = 120. Therefore, there are 120 different ways to arrange the letters in the word "house."
Given two letters, there are two ways to arrange them; first then second, or second then first. The way the question is worded, the other letters of the word do not matter.
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12
There are 40,320 ways to arrange eight letters. In this case, around sixty of those ways will result in English words.
There are 40,320 ways to arrange eight letters. In this case, around sixty of those ways will result in English words.
24 ways.
The word "monkey" consists of 6 distinct letters. The number of ways to arrange these letters is given by the factorial of the number of letters, which is 6!. Calculating this, we find that 6! = 720. Therefore, there are 720 different ways to arrange the letters in "monkey."
There are 4 distinguishable letters in the word fish, so there is 4! or 24 different ways can you arrange the letters in the word fish.
There are 3360 ways.
40
Banana
24 ways
There are 30 ways.
The word "house" has 5 distinct letters. The number of ways to arrange these letters is calculated using the factorial of the number of letters, which is 5! (5 factorial). This equals 5 × 4 × 3 × 2 × 1 = 120. Therefore, there are 120 different ways to arrange the letters in the word "house."
There are six different ways to arrange the letters XYZ... XYZ XZY YXZ YZX ZXY ZYX