Permo Combo continues 11

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maihuna: Legendary Member; Posts: 1578; Joined: Sun Dec 28, 2008 1:49 amFollowed by: 9 members; Thanked: 82 times; GMAT Score:720

by maihuna » Mon Aug 10, 2009 8:27 am

A telegraph has 5 arms and each arm is capable of 4 distinct positions, including the position of rest, what is the total number of signals that can be made.

255
256
512
1023
1024

Charged up again to beat the beast

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Source: Beat The GMAT — Problem Solving | Mon Aug 10, 2009 8:27 am

real2008: Legendary Member; Posts: 527; Joined: Thu May 01, 2008 12:06 am; Thanked: 7 times

by real2008 » Mon Aug 10, 2009 9:42 am

i hope it is 1023

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sreak1089: Master | Next Rank: 500 Posts; Posts: 379; Joined: Wed Jun 03, 2009 3:05 amFollowed by: 1 member; Thanked: 19 times; GMAT Score:690

by sreak1089 » Mon Aug 10, 2009 9:51 am

I think its 4 ^ 5 == 1024.

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real2008: Legendary Member; Posts: 527; Joined: Thu May 01, 2008 12:06 am; Thanked: 7 times

by real2008 » Mon Aug 10, 2009 10:00 am

sreak1089 wrote:I think its 4 ^ 5 == 1024.

i think u need to subtract 1 from 1024 because there is a case where no signal is generated because all arms are in rest.

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prindaroy: Master | Next Rank: 500 Posts; Posts: 113; Joined: Thu Jul 16, 2009 11:23 am; Thanked: 15 times; GMAT Score:730

by prindaroy » Mon Aug 10, 2009 11:46 am

The answer is 1023;

4*4*4*4*4 = 1024 - 1 possibility where all are at rest = 1023

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DanaJ: Site Admin; Posts: 2567; Joined: Thu Jan 01, 2009 10:05 amFollowed by: 550 members; Thanked: 712 times; GMAT Score:770

by DanaJ » Mon Aug 10, 2009 12:20 pm

@real2008: great job with the perm/comb, but I have to complain about one thing: you are not providing explanations with your answers, which is against the first point listed in the "Etiquette for this forum" sticky thread. Remember, this forum was "built" to help each other, not merely to impress those who are not as fast as you in certain respects.

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real2008: Legendary Member; Posts: 527; Joined: Thu May 01, 2008 12:06 am; Thanked: 7 times

by real2008 » Mon Aug 10, 2009 9:18 pm

DanaJ wrote:@real2008: great job with the perm/comb, but I have to complain about one thing: you are not providing explanations with your answers, which is against the first point listed in the "Etiquette for this forum" sticky thread. Remember, this forum was "built" to help each other, not merely to impress those who are not as fast as you in certain respects.

Hi dude!

Please don't take it other way. I first post the answer to confirm the answer I reached is correct or not, as most of the said questions answers were not provided. Now as soon as answer is confirmed I try my best to post the explanation.

HTE.

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