Numbers 16:1 Korah son of Izhar, the son of Kohath, the son of Levi, and certain Reubenites—Dathan and Abiram, sons of Eliab, and On son of Peleth—became insolent a 2and rose up against Moses. With them were 250 Israelite men, well-known community leaders who had been appointed members of the council. 3They came as a group to oppose Moses and Aaron and said to them, “You have gone too far! The whole community is holy, every one of them, and the Lord is with them. Why then do you set yourselves above the Lord’s assembly?”
Korah's conspiracy included a diverse group of people against Moses and Aaron.
8 Moses also said to Korah, “Now listen, you Levites! 9Isn’t it enough for you that the God of Israel has separated you from the rest of the Israelite community and brought you near himself to do the work at the Lord’s tabernacle and to stand before the community and minister to them? 10He has brought you and all your fellow Levites near himself, but now you are trying to get the priesthood too. 11It is against the Lord that you and all your followers have banded together. Who is Aaron that you should grumble against him?”
I thought Korah's group was demanding some form of fair representation in the decision-making process. What made Moses think that they were demanding specifically the priesthood?