Just gonna add onto this that that anyone who thinks League is an easy game to balance doesn't realize there are 2,012,408,492,812,281,626,228,802,928,076,488,704,000,000 possible game combinations, not including runes/summoner spells, at the end of the pick/ban phase.
We can multiply that number by 1,159,445,329,576,199,417,209,625,244,140,625 if we want to include all the summoner spell choices. There are also 1,004,193,907,488 rune combos per player, or 1,042,739,490,802,398,614,340,746,131,216,780,202,679,820,611,962,299,380,095,830,580,211,315,102,923,681,042,091,580,602,925,833,711,753,882,969,983,862,964,224 total rune combinations between the 10 players.
That means that upon leaving champion select there are 2,433,000,725,920,176,568,221,146,763,729,602,477,429,181,803,293,514,029,006,628,475,533,286,455,477,447,865,797,545,156,453,933,397,799,753,945,674,803,420,154,662,473,541,490,569,770,971,535,712,092,960,724,846,284,216,729,600,000,000,000,000,000,000,000,000 possible combinations.
For reference there are only about 1,010,000,000,000,000,000,000,048,720,936,472,216,208,552,800,888,336,856,040,608,360,080,776,408,616,424,328,360,280 atoms within the observable universe.
I agree that Riot fucks up sometimes, but usually when they do things that we don't like they are doing it because we asked for it, or because they genuinely think it will help make the game more fun and interesting.
Edit: And no that does not, and I will not, calculate skin possibilities.