Which of the following is equal c(10,3)?

a. c(3,10)

b. c(10,7)

c. p(10,3)

Option: b is correct.

b. C(10,7)

Step-by-step explanation:

The formula for C(n,k) is evaluated as:

Also The formula for P(n,k) is evaluated as:

a)

and e know the factorial of negative number does not exist.

so, this  is not possible.

Hence, option a is incorrect.

b)

C(10,7)

Hence, option b is correct.

c)

P(10,3)

Hence, option c is incorrect.

Hence, C(10,7) is equal to C(10,3).

Hence, option b is correct.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2