How many four-digit numbers are there formed from the digits 1, 2, 3.pdf
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The document analyzes how many four-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 that are divisible by 4. It states that the last two digits must be one of the combinations (12, 24, 32, 44, 52), resulting in 5 options. The total count of valid four-digit numbers is calculated as 5 possibilities for the last two digits multiplied by 5 for the hundredth and thousandth places, yielding a total of 125 numbers.
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How many four-digit numbers are there formed from the digits 1, 2, 3.pdf
- 1. How many four-digit numbers are there formed from the digits 1, 2, 3, 4, 5 (with possible repetition) that are evenly divisible by 4? Solution Any number (regardless of number of digits) with the last 2 digits that are divisble by 4 is divisble by 4. then number is: xx12, xx24, xx32,xx44, xx52 . that is 5 possibilities for last two digits. For the hundredth place and thousand place digit have 5 possibilities. Hence the total numbers = 5*5*5= 125