Geogebra 組合指令
BinomialCoefficient( <Number>, <Number> )
或
nCr( <Number>, <Number> )
Calculates the binomial coefficient .
The first Number represents all elements n and the second Number represents the selected elements r.
BinomialCoefficient(10,1) yields 10
nCr(10,1)
BinomialCoefficient(10,2) yields 10*9 /(2*1)
nCr(10,2)
BinomialCoefficient(10,3) yields 10*9 *8/(3*2*1)
nCr(10,3)
BinomialCoefficient(10,8) yields 45
nCr(10,8)
BinomialCoefficient(10,9) yields 10
nCr(10,9)
數學上 C(n,r)=C(n,n-r)
由上面數值實驗可知
BinomialCoefficient(10,1) = BinomialCoefficient(10,9)
利用Sequence()產生BinomialCoefficient(10,1),.....,BinomialCoefficient(10,10)
Sequence(BinomialCoefficient(10,i),i,1,10)
Sequence(nCr(10,i),i,1,10)
