$41$ At the end of last year, Barb had over$-$contributed $$5,000$ to her RRSP$.$ Barb's new RRSP contribution room arising this year is $$6,000.$ What is the maximum amount that she can contribute to an RRSP this year without facing a penalty for over$-$contribution?

a$)$ $$0$

b$)$ $$1,000$

c$)$ $$3,000$

d$)$ $$9,000$