Answer:
There are 1716 ways the three positions can be filled by these applicants.
Step-by-step explanation:
Permutation is the number of arrangement of <em>k</em> items from <em>n</em> distinct items.
For example, permutation can be used to compute the number of ways to arrange 4 mathematics books together when arranging all the 7 books on a shelf.
In this case there are 3 available nursing positions to be filled.
A total of 13 candidates are qualified for all the three positions.
Then the number of ways the 3 positions can be filled by the 13 candidates can be determine using permutation.
Compute the possible number of selections as follows:
Thus, there are 1716 ways the three positions can be filled by these applicants.
<h3>Answer:</h3>
There are 40,320 ways, in which 8 books can be arranged on a shelf.
<h3>Solution:</h3>
Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.
- If one book is placed in the first place, then 7 books will be placed in front of it. If 2 books are placed in the 2nd place, then only 6 books can be placed after that book. This sequence will continue till 1 .
<u>Permutations </u><u>:</u>
- A permutation is an arrangement of objects in a definite order.
➲<u> P ( n, r )= n ! / ( n - r ) !</u>
- n = total number of objects
- r = number of objects selected
The number of ways to arrange 8 books on a shelf will be :
➝ P ( n, r ) = n ! / ( n - r ) !
➝ P ( n, r ) = 8 ! / ( 8 - 8 ) !
➝ P ( n, r ) = 8 ! / 0 !
➝ P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1
➝ P ( n, r ) = 40, 320
ㅤㅤㅤㅤㅤㅤ~ Hence, there are <u>40,320 ways</u> in which 8 books can be arranged on a shelf !
Answer:
y=-1/5x-16/15
Step-by-step explanation:
slope intercept form y=mx+b
3x+15y=-16
15y=-3x-16 divide both sides by 15
y=-3/15x-16/15 simplify -3/15 to -1/5
y=-1/5x-16/15
The slope of a vertical line is not defined or it is said to be infinite since by definition the slope is the tangent of the angle that forms the line with the horizontal direction. Since in this case the angle is 90 degrees, the tangent of 90 degrees is infinite.
The answer is <span>D.) Infinity</span>
