How many pieces of cheese we can obtain from a single thick piece by making five straight slices? (w

Arraryeldergox2

Arraryeldergox2

Answered question

2022-06-25

How many pieces of cheese we can obtain from a single thick piece by making five straight slices? (we can't move the cheese when slicing) If we want to maximize the number of pieces which is denoted by P ( n ), is there any recurrence relation for P ( n ), where n is the number of slices?

Answer & Explanation

iceniessyoy

iceniessyoy

Beginner2022-06-26Added 27 answers

This is a special case of the problem of counting the number of regions R n is divided into by k hyperplanes in general position. The answer is
j = 0 n ( k j ) .
Zion Wheeler

Zion Wheeler

Beginner2022-06-27Added 11 answers

This is the lazy caterer's sequence. As others have mentioned, arbitrary dimensional analogues are called hyperplane arrangements.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?