In Exercises 1–8, use the formula for nPr to evaluate each expres...

Question

In Exercises 1–8, use the formula for nPr to evaluate each expression.

8P0

Accepted Answer

Hey everyone here we are asked to use the formula for N. P. R. To solve the following expression of P. Zero. So first we need to recall the formula for N. P. R. Which states that this is equal to N factorial. The vita by the quantity of n minus R factorial. So here we need to identify the N. And our values from our given expression. So we can see that our first value here this 24 is in place of the end in the formula so N is just 24. And then the other value here the zero is in the place of the R. From the formula. So where where are is equal to zero. So now we can just plug in these values into our formula. So for 24 P zero we have N factorial in the numerator. So we have 24 factorial divided by the quantity Of N -R. So we have 24 factorial. And now we can just simplify. So in the numerator we still have 24 factorial. But in the denominator we're just subtracting by zero here. So we just have 24 factor. So now we have the same term in the numerator and the denominator. So these terms cancel and simplify to just one. So our answer to our expression is simply one which is answer choice B. Thanks for watching. I hope you found this video helpful and I'll see you again next time

In Exercises 1–8, use the formula for nPr to evaluate each expression. 8P0

Watch next