Just the Right number of Forks

Discrete Mathematics Level 2

There's a randomly ordered line of 15 forks and 15 spoons on the counter. Chef Nidhi only needs 5 forks and 5 spoons.

Can she always pick up exactly what she needs by selecting 10 consecutive utensils starting from somewhere in the line-up?

The forks and spoons are <strong>not necessarily</strong> in this order. They can be in <strong>any</strong> order. The forks and spoons are not necessarily in this order. They can be in any order.

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