In Exercises 81–85, use a calculator's factorial key to evaluate ...

Question

In Exercises 81–85, use a calculator's factorial key to evaluate each expression. 54!/(54−3)!3!

Accepted Answer

Welcome back. I am so glad you're here. We are given this expression. 48 factorial divided by parentheses. 48 minus two and parentheses factorial times two factorial. And were asked to evaluate this. Well one thing we can do before we put it in the calculator is we can simplify what's in parentheses here. So bringing this down. 48 factorial divided by and then -2. Well that's 46 And that's still 46. Factorial Times two factorial. And if you can go ahead and put that into your calculator, wonderful. If you're like me and your calculator doesn't have a factorial button. Well one solution is you could start typing in 48 times 47 times 46 times 45. All the way down to one for the numerator. And then in the denominator you'd have 46 times 45 times for all the way down to one times times one. And well I mean that would be great. But if your calculator again is like mine, mine runs out of room before I can type all of those letters in. So that's great if you've got really small numbers that you're doing factorial is you can just type those in. But if you can't type in all of those numbers and your calculator doesn't have the factorial button. There's another option among many options. One option is you can just use google calculator and in google calculator. They have the factorial button. So I'll show you how to type that in. So you can type in for the numerator. 48 factorial. and then you want to use divided by parentheses so that you get the whole denominator together and then you would say 46 factorial times two factorial End parentheses and evaluate. And we get our answer 1,128 which matches with our answer choice. D. Well done, we'll catch you on the next one.

In Exercises 81–85, use a calculator's factorial key to evaluate each expression. 54!/(54−3)!3!

Key Concepts

Factorial

Permutations

Combinations

Watch next