How many words of five letters can be created that start with the letter t, contain 2 other consonats and end with 2 vowels? note that a word is any combination of 5 letters but letters cannot be repeated.

If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are

ways of picking the vowels, and

ways of picking the consonants.

We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is

Keep in mind that this means words like TRIES and TIRES are treated as different.

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol