Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:
12x11x10x9x8 different combinations.
Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.
(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.
Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)
C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
Answer:
10,361 dolls were sold in 2001.
Step-by-step explanation:
Number of dolls sold in x years after 1993:
The number of dolls sold in x years after 1993 is given by:
Estimate how many dolls were sold in 2001.
2001 is 2001 - 1993 = 8 years after 1993, so this is f(8).
10,361 dolls were sold in 2001.
It is most likely looking for a simplified version of the answer
Based off that assumption it would be
9:7
Answer:
345 divided by 5, answer in standard form
69 ....
The what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units
<h3>What is a square?</h3>
A square is a shape with 4 sides
Let the side of the square be x units. If the length of the diagonal is 5√2, the value of x can be expressed using the pythagoras theorem as shown;
x² + x² = (5√2)²
2x² = 25(2)
x² = 25
x = 5 units
Determine the volume
V = x³
V = 5³
V = 125 cubic units
Hence the what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units
Learn more on volume of cube here: brainly.com/question/1972490
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