Henry Ernest Dudeney/Modern Puzzles/166 - Picture Presentation

Modern Puzzles by Henry Ernest Dudeney: $166$

Picture Presentation

A wealthy collector had ten valuable pictures.

He proposed to make a presentation to a public gallery, but could not make up his mind as to how many he would give.

So it amused him to work out the exact number of different ways.

You see, he could give any one picture, any two, any three, and so on, or give the whole ten.

The reader may think it a long and troublesome calculation,

but I will give him a little rule that will enable him to get the answer in all such cases without any difficulty and only trivial labour.

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Combination and Group Problems: $166$. -- Picture Presentation
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Combinatorial & Topological Problems: Miscellaneous Combinatorial Puzzles: $445$. Picture Presentation