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.6P6

Accepted Answer

hey everyone here we are asked to use the formula for N P. R. To solve the given expression of four P. Four. Now first before we begin solving me to recall this formula which states that N P R is equal to n factorial divided by the quantity of n minus R factorial. So now we we need to identify our N. And our values according to our given expression here. So if we look at our given expression we see that to the left hand side of P we have the value four and according to our formula this is the value for N. So we can see that N is equal to four and then to the right hand side we have the value for are and in this case are is also equal to four. So now that we have identified these values we can just use them and plug them into our formula. So we have that four P four is equal to and factorial in the numerator which in this case is four. So we have four factorial divided by the quantity of which is four minus R. Which is also four factorial. So now from here we can just simplify. So in the numerator we still have four factorial but in the denominator we have 4 -4 giving us a new denominator of zero factorial. And so now we need to recall that zero factorial is just equal to one. So really our equation here we just have four factorial And now if we expand this out four factorial is equal to four times three times two times one, and now multiplying all of these values. Here we see that our answer our solution is simply 24, which is answer choice c. 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.6P6

Key Concepts

Permutations

Factorial

Formula for nPr

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