Answer:
32760 ways
Step-by-step explanation:
Given
Number of Candidates = 15
Job Positions = 4
Required:
Number of outcomes
This question represent selection; i.e. selecting candidates for job positions;
This question can be solved in any of the following two ways
Method 1.
The first candidate can be chosen from any of the 15 candidates
The second candidate can be chosen from any of the remaining 14 candidates
The third candidate can be chosen from any of the remaining 13 candidates
The fourth candidate can be chosen from any of the remaining 12 candidates
Total Possible Selection = 15 * 14 * 13 * 12
<em>Total Possible Selection = 32760 ways</em>
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Method 2:
This can be solved using permutation method which goes thus;
Where n = 15 and r = 4
So;
becomes
<em>Hence, there are 32760 ways</em>
Use the formula
n(n-1)/2
which is the total number of connections between n points
So,
4(3)/2 = 6
the answer is option C.
Hope this helps
Parallel lines always have the same slope. In fact that is the definition of parallel lines :P (Technically they have the same slope and different y-intercepts, because parallel lines can never intersect...)
D
Given:
Diameter of outer circle = 20 inches.
We need to find the Area of the outer circle to get the radius of the inner circle.
Area = πr²
Outer circle Area = 3.14 * (10in)² = 314 in²
314 in² * 64% probability = 200.96 in² Area of the inner circle.
200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r
radius of inner circle is 8 inches.
We can solve this by finding one of the numbers first
Let the smaller number be y.
Since these 2 numbers are consecutive odd numbers, the larger number should be 2 more than the smaller one (y+2).
Therefore,
y + (y+2) = 284
2y +2 = 284
shift +2 to the other side and turn it into -2
2y = 284 - 2
2y = 282
shift x2 to the other side and turn it into /2
y = 282/2
y = 141
Now we got the smaller number, which is 141, we can also find the larger number by adding 2 to it. 141+2 = 143,
Therefore, your answer is 141 and 143
