Which of the Following Statements Is False

Which of the following statements is false?

A) The yield to maturity of a coupon bond is a weighted average of the yields on the zero-coupon bonds.
B) If the zero-coupon yield curve is downward sloping, the yield to maturity will decrease with the coupon rate.
C) The information in the zero-coupon yield curve is sufficient to price all other risk-free bonds.
D) When the yield curve is flat, all zero-coupon and coupon-paying bonds will have the same yield, independent of their maturities and coupon rates.