document.write( "Question 1166782: I just need help with letter C and please do a step by step explanation.\r
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\n" ); document.write( "\n" ); document.write( "A group of 8 workers decides to send a delegation of 4 to their supervisor to discuss their grievances. Complete parts (a) through (c) below.\r
\n" ); document.write( "\n" ); document.write( "A) How many delegations are possible?\r
\n" ); document.write( "\n" ); document.write( "B) If it is decided that a particular worker must be in the delegation, how many different delegations are possible?\r
\n" ); document.write( "\n" ); document.write( "C) If there are 3 women and 5 men in the group, how many delegations would include at least 1 woman?\r
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Algebra.Com's Answer #791321 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "I just need help with letter C and please do a step by step explanation.\r
\n" ); document.write( "\n" ); document.write( "A group of 8 workers decides to send a delegation of 4 to their supervisor to discuss their grievances.
\n" ); document.write( "Complete parts (a) through (c) below.
\n" ); document.write( "A) How many delegations are possible?
\n" ); document.write( "B) If it is decided that a particular worker must be in the delegation, how many different delegations are possible?
\n" ); document.write( "C) If there are 3 women and 5 men in the group, how many delegations would include at least 1 woman?
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\n" ); document.write( "\n" ); document.write( " In my post, I will answer parts A) and B) only.\r
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document.write( "(A)  Each delegation is a subset of 4 elements of the whole set of 8 workers.\r\n" );
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document.write( "     Such subsets can be chosen by different ways.\r\n" );
document.write( "     These subsets are called combinations.\r\n" );
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document.write( "     If you have a set of \"n\" elements and select the subsets consisting of \"k\" elements,\r\n" );
document.write( "     then these subsets are calling \"combinations of n items taken k at a time\".\r\n" );
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document.write( "     The number of such subsets (=such combinations) is denoted  , and\r\n" );
document.write( "     there is a formula to calculate .  This formula is\r\n" );
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document.write( "             =  = .\r\n" );
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document.write( "     In particular, in your case (A),  the number of possible delegations is\r\n" );
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document.write( "            =  = 7*2*5 = 70.\r\n" );
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document.write( "     So, the answer to part (A) is 70:  70 different delegations are possible.\r\n" );
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document.write( "     Part (A) is COMPLETED.\r\n" );
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document.write( "(B)  If it is decided that one particular worker must be in the delegation, then we choose only 3 remaining  \r\n" );
document.write( "     members of delegation among 8-1 = 7 remaining workers.\r\n" );
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document.write( "     It is   different combinations,  and   =  = 7*5 = 35.\r\n" );
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document.write( "     \r\n" );
document.write( "      It is the answer to part (B)\r\n" );
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\n" ); document.write( "\n" ); document.write( "At this point I will stop my explanations.\r
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\n" ); document.write( "\n" ); document.write( "Usually, students learn this knowledge from schools, from school teachers and from their textbooks.\r
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\n" ); document.write( "\n" ); document.write( "Usually, it is not our profile at this forum to teach from scratch: as a rule, we assume that the students /(the visitors)
\n" ); document.write( "come to the forum just having some basic knowledge.\r
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\n" ); document.write( "\n" ); document.write( "But in any case, from this my post you may learn these basics.\r
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\n" ); document.write( "\n" ); document.write( "This subject, called \"COMBINATIONS\", can not be learned momentarily, at one instance.\r
\n" ); document.write( "\n" ); document.write( "It requires gradual submersion.\r
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\n" ); document.write( "\n" ); document.write( "In this site, there are lessons devoted to this subject, so you have a unique and happy opportunity to learn from these lessons.\r
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\n" ); document.write( "\n" ); document.write( "These introductory lessons are\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
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\n" ); document.write( "\n" ); document.write( "You even may find typical solved problems there, similar to your problem.\r
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\n" ); document.write( "\n" ); document.write( "After reading and first submersion to the subject, you may come again to the forum with the next portion of your problems and questions.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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