tag:blogger.com,1999:blog-1260402586614625721.post6208351581324901504..comments2023-06-04T14:05:13.614+01:00Comments on Maths at:: Friday Factoid: There are 451 unique ways to make up 50p.Anonymoushttp://www.blogger.com/profile/02613116264986925216noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-1260402586614625721.post-67371912929149509072017-11-01T22:46:10.741+00:002017-11-01T22:46:10.741+00:00Generating functions are the way to go for doing t...Generating functions are the way to go for doing these sorts of calculations. CoCalc.com notebook (using SageMath) is available at https://cocalc.com/projects/4f3ef6fd-b13b-447c-bf2e-434b03be3a3c/files/Coin%20Combinations.sagews<br /><br />If you login to your CoCalc account and then click the blue i in the top left of my notebook, you can make a copy of it to edit and run for your own calculations.MTKhttps://www.blogger.com/profile/00864116889770737242noreply@blogger.comtag:blogger.com,1999:blog-1260402586614625721.post-79194475964153691592017-10-27T13:49:31.378+01:002017-10-27T13:49:31.378+01:00One of our American readers tweeted to say that th...One of our American readers tweeted to say that they were worried there was no 25p coin. Of course, the program works for American coins too! <br /><br />It's quite interesting that there are significantly fewer ways to make 50c out of American coins- mostly as there is no 2c piece. There turn out to be 50 ways to make 50 cents, as opposed to 451 to make 50 pence.<br /><br /><br /><br />There are 50 combinations to make this amount. These are: <br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 5<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 5 5<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 10 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 25<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 5 5 5<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 5 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 10 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 25<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10 10 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 5 5 5 5<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 5 5 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 10 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 25<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 10 10 10<br />1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10 25<br />1 1 1 1 1 1 1 1 1 1 5 5 5 5 5 5 5 5<br />1 1 1 1 1 1 1 1 1 1 5 5 5 5 5 5 10<br />1 1 1 1 1 1 1 1 1 1 5 5 5 5 10 10<br />1 1 1 1 1 1 1 1 1 1 5 5 5 25<br />1 1 1 1 1 1 1 1 1 1 5 5 10 10 10<br />1 1 1 1 1 1 1 1 1 1 5 10 25<br />1 1 1 1 1 1 1 1 1 1 10 10 10 10<br />1 1 1 1 1 5 5 5 5 5 5 5 5 5<br />1 1 1 1 1 5 5 5 5 5 5 5 10<br />1 1 1 1 1 5 5 5 5 5 10 10<br />1 1 1 1 1 5 5 5 5 25<br />1 1 1 1 1 5 5 5 10 10 10<br />1 1 1 1 1 5 5 10 25<br />1 1 1 1 1 5 10 10 10 10<br />1 1 1 1 1 10 10 25<br />5 5 5 5 5 5 5 5 5 5<br />5 5 5 5 5 5 5 5 10<br />5 5 5 5 5 5 10 10<br />5 5 5 5 5 25<br />5 5 5 5 10 10 10<br />5 5 5 10 25<br />5 5 10 10 10 10<br />5 10 10 25<br />10 10 10 10 10<br />25 25<br />50Ben Parkerhttps://www.blogger.com/profile/09168191027658272711noreply@blogger.com