Choosing a First and Second Choice Major?

If my daughter indicates both her first and second choice majors in Viterbi/Eng. and is not accepted will she automatically be considered as undeclared for the university as a whole or does she need to put down her 2nd choice outside of Viterbi to increase her chances of admission?

If Viterbi does not accept her for either choice she will be considered for undeclared. My son had imgd as first (denied), Viterbi as second (turns out they don’t even look at seconds from those who have firsts outside of Viterbi) and was accepted as Undecided. He transferred into Viterbi after the first semester.