Acity council has 12 members. five are democratss and seven are republicans. how many ways can a four member comitte be selected?

495ways

Step-by-step explanation:

Selecting some b people from a group of people are based on combination principle.

If we are selecting "r'' people from a total number of 'n' people, we will have;

nCr = n!/(n-r)!r!

Since 4 people are to be selected from a committee of 5democrats and 6republicans,

Note that the question is not specific as to how many from Republicans and Democrats to select that will make the 4people,

Therefore, the selection can be done in this manner

- 0people from democrats and 4peoples from Republicans

5C0 × 7C4 = 5!/5!0! × 7!/3!4!

= 1×35= 35ways

- 1people from democrats and 3peoples from Republicans

5C1 × 7C3 = 5×35 = 175ways

- 2peoples from democrats and 2peoples from Republicans

5C2 × 7C2 = 10 × 21 = 210ways

- 3peoples from democrats and 1people from Republicans

5C3 × 7C1 = 10 × 7 = 70ways

- 4peoples from democrats and 0people from Republicans

5C4 × 7C0 = 5 × 1 = 5ways

Adding all possible combinations

35+175+210+70+5

= 495ways

just find the gcf and solve the gcf's until you get each answer i have a really good feeling somethings missing xd (like the dimensions of the fence) *cough *cough *hint *hint

step-by-step explanation:

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743