To open a safe, three digits must be entered on a keypad. The keypad contains the numbers 0-9. The numbers need to be entered in a certain order to open the safe. How many combinations are there to this safe if the numbers CAN repeat?_________________________________________ After reading more in the manual you find that no number can be repeated in the combination. How many possible combinations are there with this new information?_________________________________________________ If no numbers can repeat, what is the probability the code is 123
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
To open a safe, three digits must be entered on a keypad. The keypad contains the numbers 0-9. The numbers need to be entered in a certain order to open the safe.
How many combinations are there to this safe if the numbers CAN repeat?_________________________________________
After reading more in the manual you find that no number can be repeated in the combination. How many possible combinations are there with this new information?_________________________________________________
If no numbers can repeat, what is the probability the code is 123
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