Golfers

Probability Level 2

Trevor has a golf bag with $14$ holes in it for placing golf clubs. He has $4$ wedges, $6$ irons, $3$ woods and $1$ putter. How many different ways can he arrange the golf clubs in his bag?

Details and Assumptions

He uses all his clubs.
No hole is empty or has $2$ clubs in it.
All wedges are the same, all woods are the same, and all irons are the same.
You may use a calculator.

Image credit: Wikipedia Kahmagolf

The answer is 840840.

2 solutions

Trevor Arashiro
Sep 8, 2014

The number of ways that this can be arranged is

$\dfrac{x!}{a_1!\times a_2!...\times a_n!}$ where $a_1+a_2...+a_n=x$

So we are left with

$\dfrac{14!}{4!\times 6!\times 3!}=840840$

same here!!

Parth Lohomi - 6 years, 9 months ago

Just curious, who threw in the picture. I actually kinda like it XD.

Trevor Arashiro - 6 years, 9 months ago

Of course, it's moderators who do that. Most of the times, pictures are added by Calvin Sir

Aditya Raut - 6 years, 8 months ago

Well I knew that it was obviously a mod, I was just wondering which one.

Trevor Arashiro - 6 years, 8 months ago

correct, me too solved in the same way!!!!!!

PUSHPESH KUMAR - 6 years, 8 months ago

Exactly! Short and Easy!

Mehul Arora - 6 years, 6 months ago

i can't understand

Keshav Kesh - 6 years, 9 months ago

what part?

Trevor Arashiro - 6 years, 9 months ago

Hon Ming Rou
Sep 9, 2014

14! / 4! / 6! / 3! = 840840

Golfers

Image credit: Wikipedia Kahmagolf

The answer is 840840.

2 solutions

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