Slice your carrots and celery thin. Dice your onion small. Set these 3 vegetables aside.
Chop your broccoli and half a head of cauliflower; combine in a bowl.
Melt your butter in a dutch oven and add your oil over medium heat.
Add your broccoli and cauliflower mix to the pot first; then add your celery, carrots, and onion. Add your diced ham.
Cover your pot and cook for about 25 minutes until the veggies are soft and crisp. Stir semi-often to ensure even cooking/so your veggies do not stick to the bottom.
Prep your rice while the vegetables are cooking. Bring the water to a boil, add the rice, and cook on low for 15-20 minutes.
Once your vegetables and rice are cooked, combine and stir.
Add your shredded cheese to either each individual serving or on top of the mixture in the pot until melted. Serve.
Recipe by Michigan from Scratch at https://www.michiganfromscratch.com/colorful-vegetable-medley/