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.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!