The binomial coefficient subscript n baseline upper c subscript x gives the number of ways of picking a subset of x items out of n. using this fact, how many ways are there to pick a committee of 4 from among all of the office employees?

where n s the total number of employees

Step-by-step explanation:

Since gives the number of ways you can pick a subset of x elements from n.

remember in order to calculate the combination number ( for example if you know the number of office employees) is

using that 4! =1*2*3*4  and same idea for n!

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!