5 women and 7 men are eligible to serve on a committee. If a committee of 4 is randomly selected, what is the probability that it will consist of 2 women and 2 men?

The required  probability is .

Step-by-step explanation:

Probability:

The ratio of the favorable outcomes to the all possible outcomes.

Given that, 5 women and 7 men are eligible to serve on a committee.

A committee of 4 is randomly selected.

Choosing 2 women out of 5 women is

=10

Choosing 2 men out of 7 men is

=21

Total number of eligible person is = (5+7)=12

Choosing 4 member out of 12 member is

=

=495

The required  probability is

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).