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 mode of a set of numbers is the number that occurs the most.
The numbers in this set are as follows,
26, 17, 9, 12, 18, 21, 9, 14, 18, 23, 15, 7, 20, 18, 17, and 12
26 I
17 II
9 II
12 II
18 III
21 I
14 I
23 I
15 I
7 I
20 I
The number that appears the most is 18!
So the mode of the set of numbers is 18!
Answer:
The correct option are;
On a coordinate plane, a cubic function has an x-intercept of (0, 0)
On a coordinate plane, an oval is in quadrant 1
Step-by-step explanation:
Rotational symmetry of a shape is a shape that when it is rotated on its axis to a given angle less than one complete revolution, the shape looks exactly like the pre-image or original appearance of the shape
For a cubic function that has x-intercept = (0, 0) we have;
y = f(x) = a·x³ + b·x² + c·x
Has the shape f a fan blade and therefore, looks the sane when rotated when rotated through 180°
The shape of an oval looks the same when rotated through 180°
Answer:
third in line
Step-by-step explanation:
hope this helps
The polynomial y3 - 11xy2 + 2x2y - 13x3 corresponds to the subtraction
of multivariate polynomial because of the minus and plus sign in it. Also, the
variables cannot be easily added or subtracted because they are all different. Unlike
in the polynomial 19x3 + 44x2y + 17, it has no minus sign.
