# Math

posted by .

Can someone check my answers and help me

1. A vector in standard position has its initial points at (0,0)
True?

2. The general formula for finding the probability of two events A and B that are not mutually exclusive and overlap is given by: P(A or B) = P(A) + P(B) + P(A and B)
True?

3. The formula for the arrangement of r of n objects is given by: n!/(n-r)!
False?

4. In buying a car, a customer has a choice of 3 bumper types, 4 stereo systems, 8 interior colors, 2 engines, 4 carpets, and 6 seat covers. How many different combinations of these 6 options are available?
Is it 4608?

5. The following statement is true by mathematical induction: n! > or equal to 2^n for all natural numbers n
False

Thank you!

• Math -

1. ok
2. dependent or independent?
independent is P(A) + P(B) - P(A&B)
3. True - check your text
4. ok
5. ok
but it is true for n>3

• Math -

So if it is true for n>3, would the answer be true?

• Math -

NO! All natural numbers means n>0

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