# of possibilities of arrangements for the word intercept?

intercept has 9 letters

2 t's
2 e's

so, 9!/2!2!

362,880

To find out the number of possible arrangements for the word "intercept," we need to consider the total number of letters in the word and the repeated letters.

The word "intercept" has a total of 9 letters. Among these letters, the following letters appear more than once:

- The letter 'e' appears twice.
- The letter 't' appears twice.

To find the number of possible arrangements, we can use the concept of permutations. The formula for permutations with repeated elements is:

n! / (n1! * n2! * ... * nk!)

Where:
- n is the total number of objects (letters in this case).
- n1, n2, ..., nk are the repeated elements and the factorials of the number of times each element repeats.

Let's calculate the number of arrangements for the word "intercept" using this formula:

Number of arrangements = 9! / (2! * 2!)

Calculating this further, we have:

Number of arrangements = (9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / ((2 * 1) * (2 * 1))

Simplifying the formula, we get:

Number of arrangements = 362,880 / 4

So, the number of possible arrangements for the word "intercept" is 90,720.