a lock has a code of 5 numbers between 1 and 20 . If no numbers in the code are allowed to repeat, how many different codes could be made?
so it is not 20C5
so can you tell me exactly what the answer is?
I can try to figure out the other 9 questions from this..please
blended learning is bad
my parent don´t know either
thanks
20C5 would be the answer if the order in the codes doesn't matter, but
surely the order does matter, so it must be
20P5
or 20*19*18*17*16 = 1860480
THANK YOU!!!!LOVE U~~
To calculate the number of different codes that could be made, we need to use the concept of permutations.
Since the lock code consists of 5 numbers between 1 and 20, and no numbers are allowed to repeat, we have 20 choices for the first number, 19 choices for the second number, 18 choices for the third number, 17 choices for the fourth number, and 16 choices for the fifth number.
To find the total number of different codes, we multiply all of these choices together:
20 * 19 * 18 * 17 * 16 = 1,860,480
Therefore, there are 1,860,480 different codes that could be made for the lock.
To calculate the number of different codes that can be made with a lock of 5 numbers between 1 and 20, where no numbers in the code are allowed to repeat, you can use the concept of permutations.
In this case, we need to select 5 numbers from a set of 20, without repetition. The first number can be any of the 20 available. Once the first number is chosen, there are 19 options left for the second number. For the third number, there are 18 options remaining. Similarly, for the fourth and fifth numbers, there are 17 and 16 options respectively.
To find the total number of different codes, we multiply the number of options for each number together:
Number of codes = 20 * 19 * 18 * 17 * 16 = 1,860,480
Therefore, there are 1,860,480 different codes that can be made with a lock of 5 numbers between 1 and 20, where no numbers in the code are allowed to repeat.
Regarding your statement about blended learning, it seems unrelated to the question about lock codes. If you have any specific questions or concerns regarding blended learning, feel free to ask!