Q:

How many 2-letter combinations can be created from the distinct letters in the word “mathematician”? Assume that the order of the letters does not matter.

Accepted Solution

A:
hello!

this problem comes with a slightly complex math equation that I had to ask my math teacher about, so I hope it helps.

The expression n! means "the product of the integers from 1 to n"
this can be said for any variable

say n is the total and r is the 2-letter combo

C(n,r)=13!/(2!(13−2)!)

If you use this equation, you will get a final answer of: 78

I hope this helps, and have a nice day.