How many four-digit numbers that do not contain the digits 3 or 6 are there? 07/22/2017 – by Mod_GuideK 0 How many four-digit numbers that do not contain the digits 3 or 6 are there? A. 2401 B. 3584 C. 4096 D. 5040 E. 7200 SHOW ANSWERSCorrect Answer: B Explanation/Reference: Explanation: The first digit has 7 possibilities (10 0, 3 and 6). The other three digits have 8 possibilities each. 7*8*8*8= 3584. The correct answer is B. Download Printable PDF. VALID exam to help you PASS.