A local high school soccer team has 20 players. However, only 11 players play at any given time during a game. In how many ways can the coach choose 11 players To be more realistic, the 11 players playing a game normally consist of 4 midfielders, 3 defend­ ers, 3 attackers and 1 goalkeeper. Assume that there are 7 midfielders, 6 defenders, 5 attackers and 2 goalkeepers on the team 2. In how many ways can the coach choose a group of 4 midfielders, 3 defenders, 3 attackers and 1 goalkeeper? 3. Assume that one of the defenders can also play attacker. Now in how many ways can the coach choose a group of 4 midfielders, 3 defenders, 3 attackers and 1 goalkeeper?

Computer Science Investing in stocks is a way to create assets that are supposed to provide financial security over time. In solving this problem, we assume that an investor buys several shares of stock at a certain price. These shares are going to be sold later on for a different price. Obviously, if the selling price is higher than the acquisition price, the investor makes a profit, registering capital gain. If the shares are sold at a lower price, the investor has a loss, which marks a negative capital gain.   This whole process is done over a period of time, and you are required to create a scenario for buying and selling shares. The assumption is that the investor sells shares in the order in which they were purchased.   The goal is to calculate the capital gain over time.   Suppose that you buy n shares of stock or mutual fund for d dollars each. Later, you sell some of these shares. If the sale price exceeds the purchase price, you have made a profit—a capital gain. On the other…

In the game of 10-pin bowling the bowler has two attempts to knock down pins for every frame of 10-pins, and scores a point for each pin knocked down. If all the pins are knocked down with two attempts, the bowler gets a bonus - whatever score they obtain with their next bowl is doubled. If all the pins are knocked down on the 1st attempt, no 2nd attempt is allowed, and the bowler gets a bonus – whatever score they obtain on their next two bowls are doubled. A student attempts to capture this scoring system in VHDL code, a fragment of which is shown in Figure Q4. Q4 (a) Draw the state transition diagram described by the VHDL of Figure Q4. Discuss whether the VHDL of Figure Q4 correctly scores a game of 10-pin bowling. (b) elsif CLK='1' and CLK'event and UPD='1' then case present state is when throwl => frame := frame + 1; + resize (unsigned (N), 9) score := score if N = w1010" then present state score := score + resize (unsigned (N), 9) present state + resize (unsigned (N),9) if N =…

Please help step by step with explanation for Program R (CS) with a final code for understanding thank you.