If you store just the broccoli salad in the refrigerator without the dressing then the broccoli salad can last up to 5 days in the refrigerator but if you store the broccoli salad in the refrigerator with the dressing then the broccoli salad will only last up to 2 days.
It's best to keep the dressing and broccoli salad separate from each other until you serve the broccoli salad so the broccoli salad will last longer.