There are 14 marbles in the bag, and we either want to get 0 or 1 cracked one (out of 2 cracked marbles) in 4 draws. Since there are 12 uncracked marbles and 2 cracked ones:
To get 0 cracked marbles, there are 12C4 ways (to draw 4 marbles out of the 12 uncracked ones only). 12C4 = 495 ways
To get 1 cracked marble, we need 3 to be from the 12 uncracked ones, and 1 from the 2 cracked ones. This means there are 12C3 x 2C1 = 440 ways
So the total number of ways is 495 + 440 = 935 ways.
<span>The GCF is the greatest common factor of 2 or more numbers or polynomials.
</span><span>Start with the factors: x, x + 1, x - 2
Now multiply them together.
</span>x(x+1)(x−2)<span>=(x2+x)(x−2)</span>
<span>=x3−2x2+x2−2x</span>
<span>=x3−x2−2x
</span>Our polynomial is: <span>x3−x2−2x</span>
Basically, if the words in the word bank are similar or opposing or cause and effect add them to the bank
S = Universe of discourse, A = students that likes volleyball, while B likes football
75/60 = 15/12 = 5/4. This is the lowest term