IDNStudy.com, kung saan ang iyong mga tanong ay may malinaw at konkritong sagot. Tuklasin ang mga maaasahang impormasyon sa anumang paksa sa pamamagitan ng aming network ng bihasang mga propesyonal.

Activity 2: Fiex your Brain Find the missing value 1. C(8, 3) = 2. C(n, 4) = 15 3. C(9, 9)=​

Sagot :

1. C(8,3)=56

2. N=6.

3. C(9,9)= 1.

1. C(8,3) =

C(8,3) =

C(8,3) = 56

2. C(n,4)=15

Substitute the values for r and C(n,r)

Simplifying, we have

Multiplication Property of Equality

Factorial definition

Since, (n-4)! divided by itself is 1, then,

Since there are four factors on the other side, factor 360 into four such that the factors are decreasing consecutive positive integers.

n(n-1)(n-2)(n-3)=(6)(5)(4)(3)

Both sides are now in consecutive order. So, N=6.

3. C(h,k) = h! / k! (h-k)!

C(9,9) = 9! / 9! (9-9)!

C(9,9) = 9! / 9! (0!)

Note: Remember that 0! = 1

C(9,9) = 9! / 9!

C(9,9) = 1