14.7 Google Does Binomial. Point your web browser to www.google.com. Instead of searching the web or looking for images, you can request a calculation in the Search box.

(a) Enter 5 choose 2 and click Search. What does Google return?

(b) You see that Google calculates the binomial coeffi cient “5 choose 2.” What are the values of the binomial coeffi cients for “500 choose 2” and “500 choose 100”? We expect that there are more ways to choose 100 than to choose 2, but how many more may be a surprise. That e"107 in Google’s answer means a 1 followed by 107 zeros.

(c) Google also does binomial probabilities. Enter (10 choose 1)*0.11* 0.89^9 to fi nd P1X ! 12 in Example 14.5. What is Google’s answer with all its decimal places?