Question

In a basket-ball passïng drill, 5 basket-ball players stand evenly spaced around a circle. The player with the ball (the pàsser) pàsses it to another player (the receiver). The receiver cannot be the player to the pàsser's immediate right or left and cannot be the player who last passed the ball. A designated player begins the drill as the first pàsser. This player will be the receiver for the first time on which pàss of the ball?

A) 4th
B) 5th
C) 6th
D) 10th
E) 24th​

Answer 1

$\large\underline{\sf{Solution-}}$

Given that,

• In a basket-ball passïng drill, 5 basket-ball players stand evenly spaced around a circle.

• The player with the ball (the pàsser) pàsses it to another player (the receiver).

• The receiver cannot be the player to the pàsser's immediate right or left and cannot be the player who last passed the ball.

• A designated player begins the drill as the first pàsser.

Let assume that

A, B, C, D and E be the 5 basketball players. Let further assume that A start the game.

Step :- 1 Now, A has ball and he cannot give it to B and E (see the attachment). So, he can only give it to C or D.

Step :- 2 Let we assume that he gives it to C. Now C, cannot give it to B or D nor A. So, he can only give it to E.

Step :- 3 Now, similarly, E cannot give to A or D nor C. So, E can only give it to B.

Step :- 4 Now, proceeding like this, B cannot give to A or C nor to E. So, B can only give it to D.

Step.:- 5 Now, D cannot give it to C or E nor to B. So, D will return it to A .

So, it make 5 passes to get the ball back to A.

So, option B is correct.

Answer 2

Step-by-step explanation:

All right. Hi. So five basketball players are evenly spaced around a circle. So let's just make five dots 123 for five. Kind of All right, and then passes the ball to another player. The receiver, the receiver cannot be the player to the pastor's immediate right or left and cannot be the player who last past the ball. Okay. And designated player begins the drill as the first passer. Okay. This player will be receiving the ball for the first time after on which pass of the ball. Alright, so let's call this person the starter. So like this is our starter persons maybe give them a red dot, red dots. Okay. And okay, so he can't pass to his left or his right. So you can choose between one of these two. Let's say he goes here. So let's count that as number one. Alright, so number one, this person cannot pass back to read this person can't pass left or right. The only place this person can pass two is over here. And that was number two. This person cannot pass to the left or the right can't pass the same person that just gave it to him. So that means the only option is here. I'll be three. This person can't go here here or to there. So then we're left with only here as the place to go. And that is for this person can't pass back, can't pass the left or right. So this person has to pass to the person who started it. And that was passed # five. So you did pick 5th. That's that to me, is the right answer to um. There you go. That's what it is, pretty sure of it.