How many different ways can 8 runners come in 1st 2nd and 3rd place?
There are 336 ways to have 8 horses place for 1st, 2nd, and 3rd place.
What is value of 5C3?
Combinatorics and Pascal’s Triangle
| 0C0 = 1 | ||
|---|---|---|
| 2C0 = 1 | 2C1 = 2 | |
| 3C0 = 1 | 3C2 = 3 | |
| 4C0 = 1 | 4C1 = 4 | 4C2 = 6 |
| 5C1 = 5 | 5C3 = 10 |
What is 7 choose 2 or value of 7C2?
What is 7 CHOOSE 2 or Value of 7C2? 7 CHOOSE 2 = 21 possible combinations. 21 is the total number of all possible combinations for choosing 2 elements at a time from 7 distinct elements without considering the order of elements in statistics & probability surveys or experiments.
How many possible combinations are there in 7 choose 2?
7 CHOOSE 2 = 21 possible combinations. 21 is the total number of all possible combinations for choosing 2 elements at a time from 7 distinct elements without considering the order of elements in statistics & probability surveys or experiments.
Which is the correct formula for the probability of 7C2?
To view it as a probability you need a sample space, e.g. probability of choosing 2 elements given you choose at least 1. The formula for number of different combinations of n distinct objects taken r at a time is c (n,r)=n!/r! (n-r)! The probability of 7C2 is 7!/2!×5!=7×6×5!/2×5! = 7×6/2=21. (Or) 7C2= 7×6/2×1=21.
How to calculate the number of combinations in a permutation?
The possible number of arrangements for all n people, is simply n!, as described in the permutations section. To determine the number of combinations, it is necessary to remove the redundancies from the total number of permutations (110 from the previous example in the permutations section) by dividing the redundancies, which in this case is 2!.