12 women and 18 men are on the faculty in the Computer Science department at Whatsamatta U. a. How many ways are there to select a committee of 6 members of the department if at least two women must be on the committee

183,600 ways

Step-by-step explanation:

TOPIC : PERMUTATION & COMBINATION

Question: In how many ways can a committee of 6 members - with at least 2 women - be selected?

In other words, how many ways are there, to select a committee of 6 members including at least 2 women?

* Permutation deals with the orderly arrangement of items while Combination deals with the manner of selection of items from a group, without regard to order. In other words, this question has to do with Combination.

There are 12 women and 18 men and you're to select 2 women and 4 men.

The combination for men and women will be found separately and then multiplied together.

WOMEN: 2 OUT OF 12

12! ÷ [2! × (12 - 2)!]  =  12! ÷ [2! 10!]

= 12×11×10×9×8×7×6×5×4×3×2×1   = 479,001,600  =  66

  2×1   ×10×9×8×7×6×5×4×3×2×1       7,257,600

MEN: 4 OUT OF 18

18! ÷ [4! (18 - 4)!]  =  18! ÷ [4! 14!]

= 18×17×16×15×14×13×12×11×10×9×8×7×6×5×4×3×2×1  = 3,060

  4×3×2×1   ×14×13×12×11×10×9×8×7×6×5×4×3×2×1

₁₂C₂  ×  ₁₈C₄  = 66 × 3060  = 183,600

could

step-by-step explanation:

u send me a picture of ur work

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.