Final answer:
The molecule (CH3)2CO has a total of 3 elements and 10 atoms, and is classified as an organic compound due to its composition of carbon and hydrogen along with a carbonyl group.
Step-by-step explanation:
The molecular formula (CH₃)₂CO represents a molecule with total elements and atoms as follows: there are two carbon (C) atoms from both methyl groups (each containing one carbon), one carbon atom from the carbonyl group (CO), thus making a total of three carbon atoms. There are six hydrogen (H) atoms from the two methyl groups (each containing three hydrogens), and one oxygen (O) atom from the carbonyl group.
This gives us a total element count of three elements (C, H, and O), and a total atom count of ten atoms (3 C + 6 H + 1 O = 10 atoms). Since this compound consists mostly of carbon and hydrogen, and includes a carbonyl group which is a common feature in organic molecules, it is organic.