document.write( "Question 419276: Please help with this homework:
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document.write( "In how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least one cat? \n" );
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Algebra.Com's Answer #293255 by sudhanshu_kmr(1152)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "no. of total ways = 25C7 ( there is no restrictions)\r \n" ); document.write( "\n" ); document.write( "no. of ways when there is no cat, only dogs = 10C7 \r \n" ); document.write( "\n" ); document.write( "now, we eliminate this value from previous value,\r \n" ); document.write( "\n" ); document.write( "total no. of ways when at least one cat = 25C7 - 10C7\r \n" ); document.write( "\n" ); document.write( "= 480700 - 120\r \n" ); document.write( "\n" ); document.write( "= 480580\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |