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Do you want combinations or permutations? They're different things. A combination of n items taken m at a time, sometimes written "nCm", selects m items from a group of n without regard to order. A permutation of n items taken m at a time, sometimes written "nPm", selects m items from a group of m with regard to order.
Given six numbers, there are six combinations of one number, 15 combinations of two numbers, 20 combinations of three numbers, 15 combinations of four numbers, six combinations of five numbers, and one combination of six numbers.
Given six numbers, there are six permutations of one number, 30 permutations of two numbers, 120 permutations of three numbers, 360 permutations of four numbers, 720 permutations of five numbers, and 720 permutations of six numbers.
Use the key next to which is the marking nPr, for permutations, and the key nCr for combinations. In all probability, the functions are accessed by pressing the SHIFT key first. To use these functions, enter the larger number (n), press the key or key sequence then enter the smaller number (r). I cannot say about the binomial function (I do not have the hardware with me), and do not really want to second guess you: you do not specify the type of problems you have in mind.
Your calculator has three keys, next to which are the following markings:n! , nCr, and nPr. The one with the exclamation point is for factorials. The second is for combinations, and the third with permutations. Syntax of the command. If the markings are on the keys, the functions are accessed directly. If the markings are on the body of the calculator, you access the functions by pressing SHIFT and the key.
12 [!] gives 12 factorial 12 [nCr] 4 gives the combinations of 12 objects taken 4 at a time (order not important) 12 [nPr] 4 gives the permutations of 12 objects taken 4 at a time (order is important.)
Yes, your calculator can do them. Press the PRB key to bring up the Probability menu. Among them you'll find nPr and nCr for permutations and combinations, as well as ! for the factorial.
To compute 4C2, press 4 PRB right-arrow 2 ENTER. Permutations work the same way, only without the right-arrow.
Hello, Use the sequence [2ndF][nPr] for permutations and [2ndF][nCr] for combinations. Exemples: 10(nPr)3 is entered as 10[2ndF][nPr]3 [=] gives 720 5(nCr)2 is entered as 5 [2ndF][nCr] 2 [=] gives 10
If the order of the selection matters (ie. 1st, 2nd, and 3rd place out of 40 contestants) use permutation. Enter:
40{shift}{nPr}3 and then [=] for your answer set (=59280 possible ways).
IF order doesn not matter (ie. a team of 3 from 40 possible members) then it is a combination. Do the same as above, but substitute {nCr} for {nPr}. (= 9880 possible ways).
For your question: a three-digit set, selecting from 0-9. There is no specified order, it is a combination. The total n=10 (there are 10 digits in the range 0-9) and you are selecting 3.
so.... 10[nCr]3 with give the number of possible combinations.
Permutation : Permutation means arrangement of things. The word arrangement is used, if the order of things is considered.
Combination: Combination means selection of things. The word selection is used, when the order of things has no importance.
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