How do you do this?

[thin flint]

Let $S=({x:x=[1,20], x\in integers})$

[gleaming sand]

becoming

[thin flint]

whereby the parentheses denote that S is not subject to a partial order

given that the definition of S is vague

let A and B be the set of cards drawn by Elgin and Yunzhi respectively

Let R be the relation < on S to denote the condition "starting with the player with the card numbered 1, the players take turns placing down the card from their hand that is greater than the card previously placed"

let $R = (A\times{B} : a,b\in{S})$ (I hope I typed that correctly)

[gleaming sand]

becoming

[thin flint]

for all instances

Elgin was the first person to begin placing the cards

therefore in every instance he should have the card "1"

the cardinality of A and B can now be "restricted" to 3 and 2 respectively

[thin flint]

that's not the number of ways

it's just a part of the answer

[thin flint]

oh?

what was your answer

[quick obsidian]

.close