Wiki User
ā 14y agoIf the position of the 8 objects within the group makes a difference, then
there are (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3) = 1,814,400 possibilities.
If their sequence doesn't matter, and you only care which 8 objects are in the group,
then there are
(10 x 9 x 8 x 7 x 6 x 5 x 4 x 3) / (8 x 7 x 6 x 5 x 4 x 3 x 2) = 45 different groups.
Wiki User
ā 14y agoDo a web search for "permutations and combinations" to find the how. I make it 35,960.
If there are n objects and you have to choose r objects then the number of permutations is (n!)/((n-r)!). For circular permutations if you have n objects then the number of circular permutations is (n-1)!
If you have N things and want to find the number of combinations of R things at a time then the formula is [(Factorial N)] / [(Factorial R) x (Factorial {N-R})]
1-36 are numbers, NOT digits. The number of combinations of 10 numbers out of 36 is 36*35*34*33*32*31*30*29*28*27/(10*9*8*7*6*5*4*3*2*1) which is 254,186,856
The answer will depend on how many digits there are in each of the 30 numbers. If the 30 numbers are all 6-digit numbers then the answer is NONE! If the 30 numbers are the first 30 counting numbers then there are 126 combinations of five 1-digit numbers, 1764 combinations of three 1-digit numbers and one 2-digit number, and 1710 combinations of one 1-digit number and two 2-digit numbers. That makes a total of 3600 5-digit combinations.
The number of R-combinations in a set of N objects is C= N!/R!(N-R)! or the factorial of N divided by the factorial of R and the Factorial of N minus R. For example, the number of 3 combinations from a set of 4 objects is 4!/3!(4-3)! = 24/6x1= 4.
The number of combinations of 6 letters is 6! or 720.
Do a web search for "permutations and combinations" to find the how. I make it 35,960.
To find the number of combinations possible for a set of objects, we need to use factorials (a shorthand way of writing n x n-1 x n-2 x ... x 1 e.g. 4! = 4 x 3 x 2 x 1). If you have a set of objects and you want to know how many different ways they can be lined up, simply find n!, the factorial of n where n is the number of objects. If there is a limit to the number of objects used, then find n!/(n-a)!, where n is the number of objects and n-a is n minus the number of objects you can use. For example, we have 10 objects but can only use 4 of them; in formula this looks like 10!/(10-4)! = 10!/6!. 10! is 10 x 9 x 8 x ... x 1 and 6! is 6 x 5 x ... x 1. This means that if we were to write out the factorials in full we would see that the 6! is cancelled out by part of the 10!, leaving just 10 x 9 x 8 x 7, which equals 5040 i.e. the number of combinations possible using only 4 objects from a set of 10.
The Pascal's triangle is used partly to determine the coefficients of a binomial expression. It is also used to find the number of combinations taken n at a time of m things .
To determine the number of combinations possible using the numbers 9, 3, 1, and 7, we can use the concept of permutations. A permutation is an arrangement of objects in a specific order. In this case, we want to find the number of permutations of all the numbers. The formula for permutations of n objects taken r at a time is given by: P(n, r) = n! / (n - r)! Where "!" denotes the factorial function. In this case, we have 4 numbers and we want to arrange all of them, so r = 4. P(4, 4) = 4! / (4 - 4)! = 4! / 0! = 4! / 1 = 4 * 3 * 2 * 1 = 24 Hence, there are 24 different number combinations that can be made using the numbers 9, 3, 1, and 7.
They are: 2*2*3*5 = 60
If there are n objects and you have to choose r objects then the number of permutations is (n!)/((n-r)!). For circular permutations if you have n objects then the number of circular permutations is (n-1)!
If you have N things and want to find the number of combinations of R things at a time then the formula is [(Factorial N)] / [(Factorial R) x (Factorial {N-R})]
Try 151,600! Permutations & Combinations. P(n,r)=n!(nār)! not P(n,r)=n!/(n!-r!)r! ?
there are 36 different combination possibilities. Try them all.
*inclusive: 74 = 2401 *exclusive: 7*6*5*4 = 840