how many distinct letter words can be made from the word "CHRISTYNA"?

Answer 1

Since no letters repeat, this is straightforward.

number of "words" = 9! = 362880

Answer 2

since the letters of the word "CHRISTYNA" are all distinct selecting distinct letters from "CHRISTYNA" can be done as follows:we partition the distinct letters according to the sizes of words want.9c1+9c2.2!+9c3.3!+9c4.4!+9c5.5!+9c6.6!+9c7.7!+9c8.8!+9c9.9!.