We want to make a 4 players team, and there are total 8 players. As we know the order of selection does not matter in a team of players, only the combination of players matters.

So we would use concept of Combinations and It will be choose 4 out of 8 players.

The formula for Combination is given as follows :-

$nCr = \frac{n!}{r!*(n-r)!} \\\\
Choose \;4 \;out \;of \;8 \;players \\\\
8C4 = \frac{8!}{4!*(8-4)!} = \frac{8!}{4!*4!} \\\\
8C4 = \frac{8*7*6*5*4*3*2*1}{(4*3*2*1)*(4*3*2*1)} = \frac{8*7*6*5}{4*3*2*1} =\frac{1,680}{24} = 70 \;combinations$

Hence, Total number of different teams = 70 combinations.

4 0

3 years ago

A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (4, 3). Fill in the blank to find the

melamori03 [73]

Answer:

The y - intercept is (0, 4)

Step-by-step explanation:

The equation x + 4y = 8 is in 'standard form.' Any line parallel to this line has an equation that looks exactly the same EXCEPT for the constant.

So, let's write out x + 4y = 8 and replace the 8 with C.

x + 4y = C

Now take the coordinates of the given point (4, 3) and substitute them into the above equation: 4 + 4(3) = C = 16

Thus, the equation of the line passing through (4, 3) is x + 4y = 16.

To find the y-intercept, set x = 0 and calculate y:

0 + 4y = 16, or y = 4

The y - intercept is (0, 4)

5 0

4 years ago

Adan can do a piece of work in 3 days, Bernie in 4 days, and Cynthia in 6 days each working alone.

Luda [366]

Answer:

1 day and 8 hours

Step-by-step explanation:

Adan does 1/3 work each day,

Bernie does 1/4 work each day, and

Cynthia does 1/6 work each day

combined they accomplish 3/4 each day

therefore it would take them 1 day and 8 hours

3 0

4 years ago