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Default Using multiple IF statements

I am trying to create a formula using multiple IF statements. Individually
they all work but I don't know how to connect them in into one formula.
Basically, 4 possible date ranges that would each produce a different text
value. Any suggestions?

=IF(AND(I1=DATEVALUE("1-Jan"),I1<=DATEVALUE("31-Mar")),"Spring
Assortment")*IF(AND(I1=DATEVALUE("1-Apr"),I1<=DATEVALUE("30-Jun")),"Summer
Assortment")*IF(AND(I1=DATEVALUE("1-Jul"),I1<=DATEVALUE("30-Sep")),"Fall
Assortment")*IF(AND(I1=DATEVALUE("1-Oct"),I1<=DATEVALUE("31-Dec")),"Holiday
Assortment")

 
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