Thanksgiving Sandwich

Probability Level 2

You like your turkey sandwich made exactly so: Bread-Mayo-Lettuce-Turkey-Havarti-CranberrySauce-Bread. What chance does your S.O. have of making it perfectly if, aside from having bread on both sides, he or she orders the 5 other ingredients randomly?

Hint: The force of gravity has nothing to do with how delicious your sandwich is!

1 5 \frac{1}{5} 1 4 ! \frac{1}{4!} 2 5 ! \frac{2}{5!} 0 1 5 ! \frac{1}{5!}

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Clara Blackstone by Clara Blackstone , 32, USA

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1 solution

Zandra Vinegar Staff
Sep 29, 2015

It's a permutation and there are 5! ways to order the 5 ingredients. However, since the desired order: M-L-T-H-C and the opposite order (aka, turning the sandwich upside-down), C-H-T-L-M are both acceptable, the answer is 2 5 ! = 1 60 \frac{2}{5!}\ = \frac{1}{60} .

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Please Will you elaborate or explain in detail

Adarsh Mahor - 5 years, 3 months ago

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