Why sometimes Jack had 10.000 power at the beginning of Horde?

Sometimes I start the Horde match with 10k power coins in horde, some others zero. Why is that? And also why sometimes there are many Power Taps and others just a few?
Does these depend on the level of difficulty of the match?

Horde Frenzy has different rules.

In case you’re new to horde:

You get more power to start if you begin on a higher wave.

One new Power tap appears every 10 waves in regular horde.