If there are 6 alike fruits, 7 alike vegetables and 8 alike biscuits, then the number of ways of selecting any number of things out of them such that at least one from each category is selected, is

Step-by-step solution

Total number of ways of selecting one or more things =(6+1)(7+1)(8+1)-1=503 Now, total ways to select from only one category =6+7+8=21 Total ways to select from only two category =6 7+8 6+7 8=146 So, required total ways of selecting at least one or more things from each category =503-21-146=336