is national income the sum of personal incomes?

can personal income be more than private income? why or why not?

i) No, national income is not the sum of personal income. This is because national income includes only factor incomes. While, personal income includes both factor incomes and transfer payments. 

ii) No, personal income cannot be greater than private income. Personal income can be less than or equal to private income. This is because

Therefore, personal income will be equal to private income when undistributed profits and corporation taxes are zero. Otherwise, it will be less than private income.