document.write( "Question 1064616: In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must have 3 seniors?\r
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Algebra.Com's Answer #679684 by Edwin McCravy(20055) $\"\"$ $\"About$

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In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must have 3 seniors?
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document.write( "Case 1:  The committee consists of 3 seniors and 2 juniors.\r\n" );
document.write( "Case 2:  The committee consists of 4 seniors and 1 junior.\r\n" );
document.write( "Case 3:  The committee consists of 5 seniors and 0 juniors.\r\n" );
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document.write( "7C3∙5C2 + 7C4∙5C1 + 7C5∙5C0 = 35∙10 + 35∙5 + 21∙1 = 350 + 175 + 21 = 546 ways\r\n" );
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