My nephew needs help with a Ford stats math problem - 460 Ford Forum
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post #1 of 3 (permalink) Old 02-21-2007, 03:07 PM Thread Starter
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My nephew needs help with a Ford stats math problem

This is a bit unusual, but bear with me, it's for a good cause.
My nephew Dee is a very bright high school junior and he needs a little help from you the motley assortment of ford owners out there.

Read on:

____________________________________


Hi
I am a high school student here in Utah, a junior at Layton HS. I am currently taking an AP math course, and I have a statistical math project that I need to complete. I need to create a statistical problem that I can solve on paper and then prove my solution in the real world.
My uncle is Dane V from Ford Auto Wrecking. (He let me use his account)
and he suggested this problem:

If a key and lock maker makes a lock that takes a key that has 5 tumblers in it and there are 5 different sizes of tumbler pins;

How many unique key and lock combinations are made?

This is subject to a couple rules:
1. the lock will NOT have 5 tumblers of the same size or have 4 of the same size
2. the lock can have 3 tumblers of the same size if the other two are each different sized.

I guess this is how Ford locks and keys of the 60-70s cars are made,

The second part is:

If a collector, collects 100 keys and 100 locks from random sources how many matches of keys to locks will he have?


I can solve this problem with math, but I also need to show if my answer is right, and I can do that I think to the second part.

My uncle gave me a box of locks and keys from various fords he has in his yard.
So far I have about 75 various locks, ignition doors trunks and I have about 40 keys.

I need more keys to be able to prove the second parts of the problem Thatís why I thought I would post on this board, and ask for some.
Since you all are ford owners I thought that maybe you could sell me an extra key or two, maybe to a car you don't have anymore and the keys are just sitting in a junk drawer
I am looking for the double sided 60-70's era Ford keys either trunk or ignition.
I have about 25 ignition keys and 15 trunk keys.

I'll pay you back for the postage and the key, maybe $1 per key?
If you can send me a few keys and include your email address I'll paypal you back $1 for each one. If the payment is $1 then paypal won't take money out as a service fee.
Is that fair?

Let me know if you can help I'll sure appreciate it

Deardon S.
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post #2 of 3 (permalink) Old 02-21-2007, 03:16 PM
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Re: My nephew needs help with a Ford stats math problem

Quote:
Originally Posted by danev2
This is a bit unusual, but bear with me, it's for a good cause.
My nephew Dee is a very bright high school junior and he needs a little help from you the motley assortment of ford owners out there.

Read on:

____________________________________


Hi
I am a high school student here in Utah, a junior at Layton HS. I am currently taking an AP math course, and I have a statistical math project that I need to complete. I need to create a statistical problem that I can solve on paper and then prove my solution in the real world.
My uncle is Dane V from Ford Auto Wrecking. (He let me use his account)
and he suggested this problem:

If a key and lock maker makes a lock that takes a key that has 5 tumblers in it and there are 5 different sizes of tumbler pins;

How many unique key and lock combinations are made?15,625?

This is subject to a couple rules:
1. the lock will NOT have 5 tumblers of the same size or have 4 of the same size
2. the lock can have 3 tumblers of the same size if the other two are each different sized.

I guess this is how Ford locks and keys of the 60-70s cars are made,

The second part is:

If a collector, collects 100 keys and 100 locks from random sources how many matches of keys to locks will he have?


I can solve this problem with math, but I also need to show if my answer is right, and I can do that I think to the second part.

My uncle gave me a box of locks and keys from various fords he has in his yard.
So far I have about 75 various locks, ignition doors trunks and I have about 40 keys.

I need more keys to be able to prove the second parts of the problem Thatís why I thought I would post on this board, and ask for some.
Since you all are ford owners I thought that maybe you could sell me an extra key or two, maybe to a car you don't have anymore and the keys are just sitting in a junk drawer
I am looking for the double sided 60-70's era Ford keys either trunk or ignition.
I have about 25 ignition keys and 15 trunk keys.

I'll pay you back for the postage and the key, maybe $1 per key?
If you can send me a few keys and include your email address I'll paypal you back $1 for each one. If the payment is $1 then paypal won't take money out as a service fee.
Is that fair?

Let me know if you can help I'll sure appreciate it

Deardon S.
I'll work on the other two? :lol: Tell me if I am wrong on the first one!
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post #3 of 3 (permalink) Old 02-21-2007, 03:41 PM
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I'm not sure if this will help you but you may want to give PYCL (Performance Years Classic Locks) a call. (215) 712-7400 They're a department of the 'Performance Years Pontiac' company that handles an entire line of domestic locks and keys for the 50's through 80's vehicles. I purchased a great quality lock and key set for my '78 Ford Bronco from them (every lock fit perfect).
http://www.performanceyears.com/news....htm#what_PYCL

May God's Grace Bless You

'78 BRONCO: 508" stroker, TFS heads, Dominator MPFI & DIS, cold air induction, dual 3" exhaust/Magnaflow mufflers, 100HP progressive dry direct-port NOS, A/C, Lentech Strip Terminator wide-ratio AOD, 3:1 Atlas II, modified Dana 44/60-lockers-4.10s, hydroboost/4-disc brakes, ram-assist/heim joint steering, Cage long radius arms, custom traction bars, 4" lift, 35" mud tires
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