Answer:
C. Starting with a given set of rules and figuring out what must be true
. TRUE
Step by step explanation:
Mathematical Induction
Mathematical Induction is a mathematical technique which we can use to prove any given mathematical statement, result, theorem or corollary with help of induction.
Here, we assume the statement to be true for a smaller natural number (Usually 1) and then prove the statement to be true for ANY ARBITRARY NUMBER say k.
Now, from the given options:
A. Writing down the steps to solve a complicated math problem
.
FALSE as the induction method is based on ASSUMPTION and INDUCTION.
B. Forming rules based upon observations and experiences
.
FALSE as the induction method is based on ASSUMPTION and INDUCTION. We need to induce the needed statement or Result.
C. Starting with a given set of rules and figuring out what must be true
.
TRUE as the induction method is based on ASSUMPTION and INDUCTION.
We try and find out the result with the given existing data.
D. Reducing the solution to a problem in lowest terms.
FALSE as the induction method is based on ASSUMPTION and INDUCTION.
Answer:
a) 286
b) 1,037,836,800
c) 285
Step-by-step explanation:
a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:

b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:

c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.
Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:

Answer:
thought i had it but answer is B......
Answer:
Step-by-step explanation:
x+(-56)=12
exclude "x"
x=56+12
x=68
Answer:
68 degrees
Step-by-step explanation:
triangle = 180 degrees
<BFD = 180 - 90 - 22 = 68 degrees