document.write( "Question 1149503: A committee of 5 people is selected from a group of 7 men and 8 women. In how many ways can the committee be selected so it contains at least 1 woman?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #770841 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "In all, there are 7+8 = 15 individuals,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "and 5 people of 15 can can be selected in   ways.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is the total possible number of groups of 5 individuals.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now, the committee of 5 people, consisting of men ONLY, can be selected in   ways.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The answer to the problem question is the COMPLEMENT of    to  , i.e. the difference   - .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You do the calculations, following my instructions.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Answered.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Shortly speaking, from the number of all possible groups of 5 I subtracted the number of such groups consisting of men only.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "On Combinations, see introductory lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction to Combinations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of the formula on the number of Combinations\r
\n" ); document.write( "\n" ); document.write( "    - Problems on Combinations\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Permutations and Combinations\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Combinatorics: Combinations and permutations\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );