document.write( "Question 1039769: in how many ways can a committee of four be chosen from a group of ten if barry and harry refuse to serve together on the same committee? \n" ); document.write( "

Algebra.Com's Answer #654599 by robertb(5830) $\"\"$ $\"About$

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The complement of the event where Barry and Harry would NOT be serving together on the same committee is the event where Barry and Harry would be serving together.
\n" ); document.write( "Hence, the number of ways a committee of four can be chosen from a group of ten where Barry and Harry would NOT be serving together on the same committee is \r
\n" ); document.write( "\n" ); document.write( " $\"%28matrix%282%2C1%2C10%2C4%29%29+-+%28matrix%282%2C1%2C8%2C2%29%29+=+182\"$ ,\r
\n" ); document.write( "\n" ); document.write( "since $\"%28matrix%282%2C1%2C8%2C2%29%29\"$ is the number of committees in which Barry and Harry are together on a committee. \n" ); document.write( "

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