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permutations imply that the order is important where as a combination implies the order is not important. In many calculators there are buttons which can calculate the combination or permutation for you. in my calculator, (TI-84) press the math button, then go to probability and you will see a list. one is nPr. this is the button for a permutation. you first enter the total amount, then push the buttons to get nPr, then enter the number you are choosing out of the total. press enter and the answer will appear on the screen. The combination is found and entered similarly (nCr).
An example of a permutation is the number of ways you can line 6 people in a row (order is important)
6 nPr 6 is what you should type in your calculator. the calculator performs a process calculation 6x5x4x3x2x1. it does this because there are 6 options for the first spot, 5 options for the second spot (since one is already in the first), 4 options for the third spot, and so on. the answer to this question is 720.
An example of a combination is saying that there are 3 identical prizes in a raffle. 10 people are in the running for the raffle and 3 will be winners. it is not important in what order the contestants are drawn since the prizes are the same. you should enter 10 nCr 3 in your calculator and the answer will be 120.
I hope this helps you! I typed a long answer not because it is complicated, but because I want you to be able to understand it and gave a thorough answer
Summary: Permutations are used when order is important and combinations are used when order is not important. Graphing calculators offer buttons that will do this all for you (on a TI-84 press MATH-go to column PRB- option 2 (nPr) is for permutations and option 3 (nCr) is for combinations.
Good Luck!
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How many combinations can be made from 32 items taken 4 at a time and how do you do it?
Do a web search for "permutations and combinations" to find the how. I make it 35,960.
What are the possible combinations in a 4 digit password?
Passwords are technically permutations, not combinations. There are 104 = 10000 of them and I regret that I do not have the time to list them. They are all the numbers from 0000 to 9999.
How many combinations are there in a seven digit phone number?
There is only one combination. There are many permutations, though.
The number of permutations of 5 things taken 2 at a time is 20?
Not quite. Number of combinations is 20, number of permutations is 10. Any 2 from 5 is 10 but in any order doubles this.
How many 4 number combinations using digits 1357 one and only once?
There is only one combination. The order of the digits in combinations makes no difference. They are considered as being different if they are permutations, not combinations.
Does the number of permutations always exceed the number of combinations?
No. The number of permutations or combinations of 0 objects out of n is always 1. The number of permutations or combinations of 1 object out of n is always n. Otherwise, yes.
What is the permutations and combinations for the word great?
There are 120 permutations and only 1 combination.
Who was the scientist of combinations and permutations?
Fred Jones
Why is order important in permutations?
If not, they would be combinations.
What is 12p5 in math permutations and combinations?
95040
Why does the formulas permutations and combinations make sense?
There are many formules
How many winning trifecta combinations are there in a race with 20 horses?
Trifecta bets are permutations, not combinations, and there are 6840 of them.
Give a real world example of how permutations and combinations can be used?
jj
How permutation differ from combination?
In permutations the order of the elements does matter. In combinations it does not.So, the permutations 1,2,3 and 3,1,2 are not the same. But they are the same combination.
How many combinations of 3 out of 10?
720 permutations (the arrangement matters) 120 combinations (the arrangement doesn't matter)
How many 4 number combinations are there using 1 2 3 4 5?
There are 120 permutations and 5 combinations.
How many 3 number combinations are possible with 1234?
Just 4: 123, 124, 134 and 234. The order of the numbers does not matter with combinations. If it does, then they are permutations, not combinations.
