document.write( "Question 419276: Please help with this homework:
\n" ); 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?
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Algebra.Com's Answer #293255 by sudhanshu_kmr(1152)\"\" \"About 
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\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
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