In Exercises 1–8, evaluate the given binomial coefficient.

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Hey everyone here we are asked to find the binomial coefficient of the expression 13, 13. Now before we solve this expression here let's recall the formula to calculate a binomial coefficient which has the expression N. K equal to n factorial divided by k factorial times the quantity of n minus K factorial. So now we can just identify the values for N And K in relation to our given expression. Well both of our values are the same. So we can see that N is equal to 13 and the lower value is K which is also equal to 13. And now we can just plug in these values into our formula. So we have our expression 13/13 is equal to in the numerator. We have n factorial which is 13 factorial divided by K factorial which is also 13 factorial times the quantity of N which is 13 minus K which is also 13. And now we can just start simplifying. So again keeping the numerator the same. We have 13 factorial divided by factorial times. 13 minus the 13 just gives us zero factorial and now we can simplify further. First we see that we have a 13 factorial in the numerator and the denominator. So they cancel. And next we need to recall that zero factorial is simply equal to one. So therefore our simplified coefficient here is just one which is our answer here for choice. B. Thanks for watching. I hope you found this video helpful and I'll see you again next time

In Exercises 1–8, evaluate the given binomial coefficient.

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