document.write( "Question 1164276: I dont need answer. I just need i) to understand this problem and need to know how to approach it and ii) where can I find similar problems solved or lessons which will illustrate how to approach this problem on this site. I tried quite a bit on this site under permutations/combination, lessons, 'text-book' on this site. I am unable to find any guidence. Could someone please point me where I can I go on this site\r
\n" ); document.write( "\n" ); document.write( "Question: 7*nP3 = 6*n+1P3 |solve for n\r
\n" ); document.write( "\n" ); document.write( "If I expand the first term as 7[n!/(n-3)!] = 6[(n+1)!/(n+1)!-3]
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\n" ); document.write( "Thak you \n" ); document.write( "
Algebra.Com's Answer #788586 by ikleyn(52778)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let's go step by step.\r\n" );
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document.write( "(1)  nP3 = \"n%21%2F%28n-3%29%21\".\r\n" );
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document.write( "     Cancel (n-3)! in both numerator and denominator.  You will get\r\n" );
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document.write( "     nP3 = n*(n-1)*(n-2).\r\n" );
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document.write( "           By the way, many people  write and know that  nP3 = n*(n-1)*(n-2)  without any explanations.\r\n" );
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document.write( "           It is simply  another definition  of the nP3 . . . \r\n" );
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document.write( "     So, the left part of your original equation is 7*n*(n-1)*(n-2).\r\n" );
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document.write( "(2)  Now about the right side.\r\n" );
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document.write( "     I am totally sure that the correct writing for it is  6*((n+1)P3).\r\n" );
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document.write( "     It is  6*(n+1)*n*(n-1),  by the same arguments.\r\n" );
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document.write( "(3)  So, your equation is\r\n" );
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document.write( "         7*n*(n-1)*(n-2) = 6*(n+1)*n*(n-1).\r\n" );
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document.write( "     Next, you cancel factors n and (n-1) in both sides.  You get then\r\n" );
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document.write( "         7(n-2) = 6*(n+1).\r\n" );
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\n" ); document.write( "\n" ); document.write( "At this point I stop, leaving the rest for you.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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document.write( "    By the way, yesterday I got a message (a \"comment from student\") asking for my personalized attention.\r\n" );
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document.write( "    I am not 100% sure that this message came from you, I am only 95% sure, based on the context.\r\n" );
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document.write( "    The matter is that this forum is organized and works in the way, that, when I obtain a message from \r\n" );
document.write( "    a student, I DON'T know for sure, from whom this message came.\r\n" );
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document.write( "    I asked the founder and the owner of this forum/site, why it is so, and he explained me that this construction\r\n" );
document.write( "    was made CONSCIOUSLY by him in accordance with the law  to avoid collisions and conflicts between a \"student\" and a tutor.\r\n" );
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document.write( "    Very strange and very unexpected, but it is so, it is the FACT and we should work under these restrictions.\r\n" );
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document.write( "    For this particular problem, its ID number is  1164276 .\r\n" );
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document.write( "    For any problem, its  ID  number is the first number,  which you see in your page in the  UPPER  LEFT  corner.\r\n" );
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document.write( "    If you post to me without referring to this  ID  number,  I will not know to whom to answer.\r\n" );
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document.write( "    So, if you want to communicate with me and want to have a TWO-WAYS communication, you SHOULD REFER\r\n" );
document.write( "    to the problem's ID number.  Then I will know to whom to answer, and will answer directly in the SAME SPOT.\r\n" );
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document.write( "    Regarding your request, I am ready to communicate with you and consult you by the same way inside and in frames of this forum,\r\n" );
document.write( "    as I did it before.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Now, in the frame of this remaining 5% uncertainty, if that message was not from you, then PLEASE IGNORE this my mail.\r
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\n" ); document.write( "\n" ); document.write( "But if it was from you, then PLEASE confirm.\r
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