-(으)ㄹ 리가 없다 means "there is no way" or "it cannot be" - expressing disbelief.
Impossibility - 그럴 리가 없어요 (theres no way thats true)
Disbelief - Rejecting a possibility
Strong denial - Cannot logically be the case
리 means "reason" or "logic"
가 can be omitted: -(으)ㄹ 리 없다
Theres no way that person lied.
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