 Hello friends, let's solve the following question. It says if nc8 is equal to nc2, find nc2. Let us first understand the formula to solve this question. If nca is equal to ncb, then either a is equal to b or n is equal to a plus b. So this knowledge will work as key idea. Let us now move on to the solution. We are given nc8 is equal to nc2 and we see that here a is 8 and b is 2. So 8 cannot be equal to 2. So this implies n is equal to 8 plus 2 that is n is equal to 10. Now we have to find nc2 and here n is 10 so we have to find 10c2 and it is given by 10 factorial upon 2 factorial into 10 minus 2 factorial which is again equal to 10 factorial upon 2 factorial into 8 factorial. Now 10 factorial can be written as 10 into 9 into 8 factorial upon 2 factorial into 8 factorial. Now 8 factorial gets cancelled with 8 factorial 2 into 5 is 10 and we have 10c2 as 5 into 9 that is 45. Hence nc2 is equal to 45 and this is the answer to the question. Bye for now. Take care. Have a good day.