 In this video we provide the solution to question number seven for practice exam number four for math 1030 For which we have the following situation a computer password for a specific Computer is composed of exactly five characters of each of the characters must be a letter And we'll say capital Roman letters from a to z. There's 26 such letters there Then how many different passwords can be created? Which use different vowels for the first three characters and different consonants for the last two Okay, so it's like we have the three first characters to choose for which we have to use vowels only there's five vowels a Eio and you but we have to choose different ones So you're gonna have five options for the first you're gonna have four options for the second three options for the third And then it says the last two have to be consonants which are different, right? so the consonants are those letters which are not vowels so 26 take away five is gives you 21 and then if you need a different one you're gonna get 20 right there So the number of such passwords is going to be five times four times three times 21 times 20 That turns out to be 25,200 so the correct answer would be e