Relations and Functions

Relations and Functions

Question

Out of  500 car owners investigated, 400 owned car A, 200 owned car B, and 50 owned both cars A and B. Is the data correct?

Answer

Let        U = Set of car owners
rightwards double arrow   n(U) = 500                                                                                                                    ...(i)
A set of owners of car A
rightwards double arrow n(A) = 400
B = Set of owners of car B
rightwards double arrow                               n(B) = 200                                                                                        ....(ii)
                    <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
#1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493)
#2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs()
#3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...')
#4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array)
#5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array)
#6 {main}</pre>                                                                                  ....(iii)

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight n left parenthesis straight A union straight B right parenthesis equals straight n left parenthesis straight A right parenthesis space plus straight n left parenthesis straight B right parenthesis minus straight n left parenthesis straight A union straight B right parenthesis
rightwards double arrow    space space space space space space space space space space space space space space space space space space space space ` space space space space space space space space space space space straight n left parenthesis straight A union straight B right parenthesis equals space 400 plus 200 minus 50 equals 550
We know that   space space space space space space space space space straight n left parenthesis straight A union straight B right parenthesis less or equal than space straight n left parenthesis straight U right parenthesis space space space space space space space space space space space space space space space space space space rightwards double arrow space space space space space space space space space space space space space space space space 550 space less or equal than space 500
which is wrong
Hence, the data is incorrect.

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