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Algebra

New kid on the Block

 Joined: 19 Jan 2009 Post: 4
19 Jan 2009 20:43:59 IST
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19
1619
in how many ways can 6 rings be worn on four fingers of one hand.
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in how many ways can 6 rings be worn on four fingers of one hand.

Blazing goIITian

Joined: 21 Jan 2008
Posts: 1190
19 Jan 2009 20:51:56 IST
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15 ways

New kid on the Block

Joined: 19 Jan 2009
Posts: 4
19 Jan 2009 21:01:55 IST
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Cool goIITian

Joined: 22 Sep 2008
Posts: 53
19 Jan 2009 21:03:36 IST
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If the rings are of distinct type then in 4x5x6x7x8x9 = 60480 ways

If the rings are undistinguishable then in 4^6 = 4096 ways

Blazing goIITian

Joined: 13 Dec 2008
Posts: 611
19 Jan 2009 21:06:45 IST
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4^6=4096....................................

Blazing goIITian

Joined: 13 Dec 2008
Posts: 611
19 Jan 2009 21:07:21 IST
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@ AMIT .................... HOW ON EARTH DID U GET 15 DUDE.........

Blazing goIITian

Joined: 2 Jun 2007
Posts: 465
19 Jan 2009 22:38:11 IST
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simple bro one ring can be distrbuted among the four fingers in 4 ways thus 6 rings in 4^6 ways these are the simplest applications of such problems rate if useful

Blazing goIITian

Joined: 1 Apr 2007
Posts: 4025
19 Jan 2009 22:57:32 IST
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Hello dear

there are 6 rings so they can be distributed in four fingure in 46 ways so the answer is

4096

Cheers.................

New kid on the Block

Joined: 17 May 2012
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17 May 2012 00:49:51 IST
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I have a serious doubt here ... let us simplify the above porblem a little and let us know in how many ways can two rings be worn on three fingures ? As per you it should be 3*3 =9but see below,let us assume r1 to be ring 1 and r2 to be ring 2 then possible combinations will be,r1,r2,0r1,0,r2(r1r2),0,0(r2r1),0,0r2,r1,00,(r2r1),00,(r1r2),00,r1,r2r2,0,r10,r2,r10,0,(r1,r2)0,0,(r2,r1)

New kid on the Block

Joined: 17 May 2012
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17 May 2012 00:52:52 IST
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posting the combinations again {r1,r2,0} {r1,0,r2} {(r1r2),0,0} {(r2r1),0,0} {r2,r1,0} {0,(r2r1),0} {0,(r1r2),0}{0,r1,r2}{r2,0,r1}{0,r2,r1} {0,0,(r1,r2)} {0,0,(r2,r1)}

New kid on the Block

Joined: 17 May 2012
Posts: 3
17 May 2012 16:09:13 IST
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since we always keep our fingers down whenever we wear rings

so,

we have

four fingers and 6 rings to wear thus,

4^6

New kid on the Block

Joined: 17 May 2012
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17 May 2012 16:13:37 IST
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hey,

you're repeating the same many times see you have repeated 0

Scorching goIITian

Joined: 18 Mar 2010
Posts: 278
17 May 2012 18:13:40 IST
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84 ways

Hot goIITian

Joined: 3 May 2012
Posts: 134
17 May 2012 19:55:33 IST
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4^6

New kid on the Block

Joined: 17 May 2012
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17 May 2012 20:46:07 IST
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I want to know how did we got that answer.All rings being different... the test cases i made for 2 rings in 3 fingures seems completly valid and are comming equal to 12 .Can someone send me the 9 events which should be the answer for a simple problem for wearing 2 rings in 3 fingures ...!!

Scorching goIITian

Joined: 18 Apr 2012
Posts: 204
18 May 2012 17:02:57 IST
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Many people answered this question correctly and I am giving the same because its absolutely correct, we have four fingers and 6 rings to wear so,4^6 = 4096

New kid on the Block

Joined: 26 Feb 2013
Posts: 2
26 Feb 2013 12:40:03 IST
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in how many ways can 6 rings be worn on four fingers of one hand.

New kid on the Block

Joined: 26 Feb 2013
Posts: 2
26 Feb 2013 12:42:07 IST
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first of all i would like to thaks for ur answer may i know the how to solve this sum

Cool goIITian

Joined: 9 Feb 2013
Posts: 44
27 Feb 2013 13:39:58 IST
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I think answer can never be 4096 nor less than it.

Cool goIITian

Joined: 9 Feb 2013
Posts: 44
27 Feb 2013 13:43:47 IST
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Its bcoz der may b a prsn who can wear all 6 in one finger.5 in one and 1 in any other.4 in one and 2 in others.------------------------------------------------of course the question is complicated.

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