Eight women of different heights are at a party. Each woman decides to only participate in a handshake with women shorter than herself. How many handshakes take place?

Question

Fleming

Mathematics

5 May, 07:49

Eight women of different heights are at a party. Each woman decides to only participate in a handshake with women shorter than herself. How many handshakes take place?

+1

Answers (2)

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Sawyer Walters · Answer 1

0

Step-by-step explanation:

There are 0 handshakes because if A is taller than B, then A will want to shake hands with B, but B will not participate because she is shorter.

Ireland Giles · Answer 2

0 handshakes

Step-by-step explanation:

There are 8 women of different heights.

Let the eight women be A, B, C, D, E, F, G and H

Assume A is taller than B and A decides to shake hands with B, B will refuse because A is taller. If this happens across the eight women then there will be 0 hand shakes.

If this assumption is taken out, we have 7+6+5+4+3+2+1 = 28