One thing I need to add is that these game (Eternal, Magic as well I think) allow you to have up to four copies of the same card in your deck.

I know nothing about Magic or similar card games, but I saw that **mathematics** was one of the topics assigned and I was intrigued by the question

When does it make sense to have more than 75 cards?

It sometimes helps to mess around with a smaller or simpler problem and then apply the rule(s) discovered to the actual problem.

Letβs say you have three cards labeled π¦, π, π

*I could label them 1,2,3 or a,b,c but I like using emojis.*

If the synergy comes from dealing the π¦ card first followed by the π card, then there is 1 out of 6 possibilities that you will get dealt that sequence:

π¦π

π¦π

ππ¦

ππ

ππ¦

ππ

So 1:6

Another way to look at it is that you had 3 possibilities for the first card you drew and two possibilities for the second card you drew.

And 3 times 2 equals 6 combinations. If you had 4 cards, youβd have 4 possibilities for the first card times 3 possibilities for the second card, which would equal 12 combinations.

So 76 cards would equal 76*75=5,700 possible combinations.

Back to the 3 cards. What if the sequence dealt didnβt matter for synergy, that is

π¦π has the same value as

ππ¦

Then in a 3 card deck there are 2 successful draws out of 6 possible combinations. So 2:6 or 1:3.

**Your chances are doubled if the order doesnβt matter.**

What if your 3 card deck had two of the same card? That is your 3 cards are π¦ππ.

π¦π

π¦π

ππ¦

ππ

ππ¦

ππ

If order doesnβt matter, you have 4 successful chances out of 6 or 2:3.

So adding another πcard increases your chances of a synergy event.

If there are π cards that can be combined with a number of different cards

π¦π

ππ¦

ππ

to create synergies, then the value of adding the π card goes up even more.

Hope that was both understandable and somewhat helpful.