WebHow many 4-digit integers are less than 3,000 , or have only even digits, or have no repeated digits? Question: How many 4-digit integers are less than 3,000 , or have only even digits, or have no repeated digits? Show transcribed image text. Expert Answer. Who are the experts? WebNo, the answer is not correct. The answer should be 48 not 54. Since the 4-digit number is greater than 5000, we can only use 7, 8 and 9 at thousands place, which has 3 choices. View the full answer Step 2/2 Final answer Transcribed image text:
Find the number of four digit even numbers that can be formed
WebOct 3, 2024 · There are 5 even digits: 0, 2, 4, 6, 8. In a four-digit number, the first digit cannot be 0, so there are only 4 even numbers available. For the second, third, and fourth digits, … WebSep 5, 2024 · ∴ In 360 ways the 4 -digits numbers can be form using the digits 1,2,3,7,8,9. From these, the even numbers must contain the last digit as 2 or 8. If we fix 2 or 8 at 4th place, then there are 5P 3 ways for each. ∴ Total number of even numbers = 2×5P 3 = 2× (5−3)!5! = 2× 2!5! = 2× 2×15×4×3×2×1 = 120 ∴ there are total 120 even numbers. fisher pathology
Art of Problem Solving
WebJul 24, 2015 · How many 4-digit numbers have only even digits? A. 500 B. 525 C. 600 D. 625 E. 800 There are 5 even digits: 0, 2, 4, 6, 8. In a four-digit number, the first digit cannot be 0, so there are only 4 even numbers available. For the second, third, and fourth digits, there are 5 available numbers. WebFor the first digit we have 4 choices and for the second digit we have 3 choices (4 - 1 used already). Using the counting principle, the number of 2 digit numbers that we can make using 4 digits is given by 4 × 3 = 12 The … WebThe first digit cannot be 0, so there are nine choices, 4 even and 5 odd. For the second digit we have nine choices. If the first digit is even then we have four even and five odd … can a landlord give a 30 day notice to vacate