supremecheetah

Hello! Can you please share the diagram?

Hello! Here's the link to the solution: https://web2.0calc.com/questions/helpelp#r3. PLEASE let me know if the answer is wrong because I noticed this is not the first time you posted this and the other person direct the conversation to the link above.

Hello!

a) the volume, answer, is 96 in^2

The volume of a prism formula is v = bh. Since we know both the base and the height, we can easily find the volume. So the volume is 8in*12in = 96 in^2.

b) Im unsure about this part because i dont know what type of prism it is. It would be different for a triangular prism and a rectangular prism so... Perhaps someone else can help with this part.

Nope, can you please help? I'll be active again in couple of hours. I need to take a break from math; I have been doing math for 3 hours now.

Correct! Here's the full and detailed solution. Let me know if you have any questions!

Thomas can choose any $4$ out of $12$ players, which is $\binom{12}{4}$ distinct possibilities for a team. Carrie can choose any $4$ out of the remaining $8$ players, which is $\binom{8}{4}$ distinct possibilities for a team. Lenny has only $1$ choice for his team, whichever $4$ have not yet been chosen. Combining all this yields

$\begin{align*} \frac{12\times11\times10\times9}{4\times3\times2}\times\frac{8\times7\times6\times5}{4\times3\times2} &= 11\times 10 \times 9 \times 7 \times 5 \\ &= 99\times 35\times 10 \\ &= (3500-35)\times 10 \\ &= \boxed{34,650\text{ ways}}. \end{align*}$

TYSM! Yes, I do understand the solution.

Incorrect solution again... The answer is 34,650.

Incorrect, the answer is 6 choose 4 which is 15.

See here for solution: https://web2.0calc.com/questions/system_33729. Let me know if that answer is incorrect.

Incorrect, the answer is 118.