The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
The correct answer is a. 3125
That's because the letter can be used more than once, so if you start and try everything from aaaaa, to ttttt, the possibilities are huge and much larger than any of the lower numbers.
Answer:
Mode = 19.
Median = 23.
Step-by-step explanation:
Arrange in ascending order:
8 9 12 15 17 18 19 19 20 22 24 25 26 27 28 31 34 36 40 43
The modal amount is the one which occurs most , which is 19.
The median is the middle value of the 20 amounts.
As there is an even number of amounts the median is the mean of the 2 middle numbers:
Median = (22 + 24) / 2
= 23.
