8th math
posted by Robin .
How many ways can seven basketball players of different heights line up in a single row so no player is standing between two players taller then herself?

Two would be ascending or descending order.
Twelve more would be ascending or descending order, with any one of the nottallest going to the other end.
I can think of four others that involve flipping and inverting more than one to the opposite side. Maybe you can think of others. Add them up 
By seeing how many arrangements I could make with N players, I found that for N = 1, 2, 3, 4, and 5 players, the number of arrangements is 2^(N1).
If this trend continues, the number of possible arrangements of N = 7 players is 2^6 = 64. Figuring it out with numbers (1 through 7) is easier than doing it with "straws" of different length.
Respond to this Question
Similar Questions

Data managment math
7: The basket ball team has total 14 players : 31st year player,52nd year player and 63rd year player (a) in how many ways can the coach choose a starting line up(5 players) with at least one 1 st player. (b) in how many ways can … 
math
How many ways can seven basketball players of different heights line up in a single row so no player is standing between two players taller then herself? 
math
In how many ways can 7 basketball players of different heights line up in a single row so that no player is standing between 2 people taller than she is? 
math
How many ways can seven basketball players of different heights line up in a single row so no player is standing between two players taller then herself? 
statistics
A researcher wants to compare the variances of the heights (in inches) of 4 year college basketball players with those of players in junior colleges. A sample of 30 players from each type of school is selected, and the variances of … 
Math
The game Upright is played by two players on an m×n square board and has the following rules: At the start of the game, a kangaroo game piece is placed on the bottom left square of the board. Players alternate turns moving the kangaroo, … 
Math
Last Problem of the Week this year! Having a bit of trouble with it: In how many ways can seven basketball players of different heights line up in a single row so that no player is standing between two people taller than she is? 
Physics
Two NBA players are revered for their ability to dunk a basketball, i.e., both players can jump very high. The first player is a tall, heavy center, and the second player is an average height, slim guard. The first player is 1.5 times … 
geometry
Three basketball teams measured the height of each player on their team. The table shows the mean and the mean absolute deviation of the heights for each team. Which statements are correct? 
Algebra 2
Select Yes or No to state whether each data set is likely to be normally distributed. the numbers on the jerseys of the players in a basketball league my answer:yes the heights of the players in a basketball league my answer:yes the …