Question

How many different words can be formed using the letters of the word amplitude?

Answer 1

Answer:

The answer to this question is 362880.

Step-by-step explanation:

9x8x7x6x5x4x3x2x1=362880

Answer 2

Answer:

There are 362,880 different words that can be formed using the letters of the word "amplitude".

Explanation:

The word "amplitude" has 9 letters.

To find the number of different words that can be formed using these letters, we can use the formula for permutations.

The number of permutations of n objects taken r at a time is given by:

P(n,r) = n! / (n-r)!

where "!" represents factorial, which is the product of all positive integers up to that number.

For the word "amplitude", all the letters are distinct. So, we can use the formula for permutations of distinct objects:

Number of different words = P(9,9) = 9! / (9-9)! = 9! / 0! = 362880

Therefore, there are 362,880 different words that can be formed using the letters of the word "amplitude".

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