A Certain BCD- To- Decimal Decoder Has Four Input Lines

A certain BCD- to- decimal decoder has four input lines and 10 output lines. If four input lines are capable of 16 possible combinations and only 10 output combinations are required, why have four inputs?

A) With three input lines the maximum number of output combinations would be equal to nine, including zero, and this would be sufficient, but decoders are not manufactured with only three inputs.
B) With four input lines, the decoder can provide for those rare occasions when input codes greater than 1001₂ may require decoding.
C) With three input lines the maximum number of output combinations would be limited to eight.
D) Both A and C

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