These numbers all have nicknames to them and There is a common connection
(When you find it everything drops into place)
Clue Its mainly done by Men
if
1=Single
2=Double
3=Treble
what is 4 and upwards called?
There are 2 possible answers to this and 1 is a Maiku baffler (But its the correct English)

Would either Yankee or Accumulator work?

Fuse
A "Yankee" is 4 Selections divided into 11 bets
Answer here off another answer site (Uk)
Your second word Accumulator is the correct term Its one continuous bet to win (Such as in Fixed odds betting (I'd do a 10 to 15 timer for a large amount of cash)
Any Ideas on the other way of verbally describing an Accumulator Bet?

Thanks for clearing that up! I am not familiar with betting terms, but was "betting" your puzzle involved them.

The other answer to this was "Roll-up"
which is used more I've never understood how this came into betting parlance
The other "roll-up" in common use refers to a self-made cigarette from the machine
with the papers that rolls the paper around the tobacco