Amud 20b

Did Rabi Yehoshua say, both as one; and I will challenge it: A barrel - מי אמר רבי יהושע שתיהן כאחת ורמינהו חבית

Summary:
Since we can burn only תלויה עם הטמאה but not טהורה, this proves that the היתר is not connected with פסח, but only with תלויה.

This is Rabi Shimon according to Rabi Yehoshuah - הא רבי שמעון אליבא דרבי יהושע

Summary:
תלויה (according to ר"ש) means that one [may but] is not obligated to burn it.

It is fit for sprinkling - ראוי לזילוף

Summary:
זילוף is alternate method of destroying, together with burning and burying.