0
Still curious? Ask our experts.
Chat with our AI personalities
Beau
Coach
RafaAdd your answer:
Earn +20 pts
How many even numbers of four digits can be formed with digits 1 2 3 4 5 6 repetition of the digit is allowed?
6 x 6 x 6 x 3 = 648 6 because the first digit can be any of the numbers 6 again, because the second digit can be any of the numbers 6, again, because the third digit can be any of the numbers 3, because the fourth/last digit can only be 2, 4, or 6
All the numbers from 1 to 99 are multiplied together Use a pattern to determine the last digit of the product?
As the numbers 1 to 99 are multiplied together, one factor of the product will be 10 which means the last digit must be 0 (a zero). Without working out the product, it can be seen that every multiple of 5 in the original numbers can be paired up with an even number (that is not a multiple of five) and multiplied together (which produces a multiple of 10) which are all factors of the product together; thus the product will ends with that number of zeros: there are 19 multiples of 5 in the numbers 1-99, so the last 19 digits of the product are all 0 (zero).
How many 4 digit EVEN numbers have all 4 digits distinct?
4 digit number having 0 at last position = 9*8*7 =504 4 digit even number having 2 or 4 or 6 or 8 at last position = 8*8*7*4 =1792 (in first position, 0 cannot be fix and in last position one of digit 2,4,6,8 will be fix, so, number of choice left for first position is 8) So, total 4 digit even number possible = 504 + 1792 = 2296
Using the numbers 1 2 3 5 6 8 0 with no repetition allowed how many 4-digit numbers can be constructed if the number is even?
This is a problem involving combinations. We know we need a 4 digit number. So I'll write 4 blank spaces, to symbolize each digit. ___ ___ ___ ___ The number also has to be even. That means that the last digit must be even. (2, 4, 6, 8, 0) Your list of numbers is 1, 2, 3, 5, 6, 8, 0. How many numbers from this list will work in the last digit place? 2, 6, 8, 0. -- 4 numbers. ___ ___ ___ _4_ For the third digit, any number will work. We have 7 choices. ___ ___ _7_ _4_ for the 2nd digit, the same applies. any number from your list will work. ___ _7_ _7_ _4_ For the first digit, only 6 will work. if you put a 0 in the first digit place, it becomes a 3 digit number. _6_ _7_ _7_ _4_ Now, all we do it multiply these numbers together. 6 * 7 * 7 * 4 = 1176. This means, we can create 1176 unique 4 digit numbers that are even with the list of numbers available. 1000 1002 1006 1008 1010 1012 etc.
What is the value of the digit 6 in 76.052?
The 6 is in the ones column.
