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>
<em></em>
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>
Answer:
Width=37in
Length=55in
Step-by-step explanation:
Let x in be the width dimension, the length dimension will be x+18 in. Area of a rectangle is calculated as A=lw. Given the area as2143 sq in, x can be calculated as:
#Substitute for every x in our function to find the true value of x:
#l=37+18=55in
for x=38:
#l=38+18=56in
For x=39:
#l=39+1854in
From the calculations above, A television with a width of 37 in and length 55in has its area closest to 2143 sq in.
Answer:
in a day (3/4)÷7=3/28
in a year (3/28)×365=39.107
10P4 = 10! / (10-4)! = 10*9*8*7 = 5040
9C4 = 9! / 5! 4! = 9*8*7*6 / 4*3*2*1 = 126
Answer: see below
<u>Step-by-step explanation:</u>
1) 10, 2, 1.2, 1.12, 1.112, 1.1112
t₁ = 10
t₂ = 10/10 + 1 = 2
t₃ = 2/10 + 1 = 1.2
t₄ = 1.2/10 + 1 = 1.12
t₅ = 1.12/10 + 1 = 1.112
t₆ = 1.112/10 + 1 = 1.1112
2) 10, 2, -2, -4, -5, -5.5, ...
t₁ = 10
t₂ = 10/2 - 3 = 2
t₃ = 2/2 - 3 = -2
t₄ = -2/2 - 3 = -4
t₅ = -4/2 - 3 = -5
t₆ = -5/2 - 3 = -5.5
