A subcommittee of six is to be selected from a committee containing 10 democrats and 12 republicans. In how many ways can at least 1 democracy be selected for the subcommittee?

the number of ways to select at least 1 democrat in the subcommittee is 69,486 ways

Step-by-step explanation:

Given;

number of the subcommittee, = 6

number of democrats = 10

number of republicans, = 12

The number of ways to select at least 1 democrat in the subcommittee is calculated as follows;

Let D represent Democrats

let R represent Republicans

= (1D & 5R) or (2D & 4R) or (3D & 3R) or (4D & 2R) or (5D & 1R) or (6D)

= 10C₁ x 12C₅  +  10C₂ x 12C₄  +  10C₃ x 12C₃  + 10C₄ x 12C₂ + 10C₅ x 12C₁  + 10C₆

Therefore, the number of ways to select at least 1 democrat in the subcommittee is 69,486 ways

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

it would take 5 hours i think idk i'm not that good at math.can you me with my questions i need asap.