Question

a lotto ticket has 9 numbers. assuming you can pick from 0 to 9 in each slot, how many possible combinations of numbers are possible?

Answer 1

is the answer 999999999?

Answer 2

^that's nine 9s

Answer 3

0,1,2,3,4,5,6,7,8,9 makes ten numbers

Answer 4

uh-huh?

Answer 5

If it has each slot, then 10^9 is pretty well.

Answer 6

how do i show a solution?

Answer 7

Because there are 10 numbers in each slot and 9 digits - we multiply 10 to itself 9 times.

Answer 8

where do the factorials come in?

Answer 9

10 to itself 9 times will mean 10^9 - which just means 1 and then 9 zeros.

Answer 10

btw..your thingy sounds like probability? lol

Answer 11

Factorials come in when a digit will not repeat.

Answer 12

1/10^9 is the probability of the winning combination right?

Answer 13

Yeah.

Answer 14

is that a coincidence?

Answer 15

Because there is only one combination, and 10^9 combinations are possible, then you are correct by that 1/10^9

Answer 16

Did you understand? @lgbasallote

Answer 17

considering as i have a hanging question...

Answer 18

what's the relation between probability and combinations? why do they almost look the same?

Answer 19

Yeah they do. Sometimes you have to use both permutations/combinations and probability. Such type of study of math is called Combinatorics.

Answer 20

oh wow cool. to think i realized that by myself. i must be a genius!! lol just kidding =))))

this "combinatorics" sounds interesting -_-

Answer 21

lolol

Answer 22

wait....if im calling myself a genius...what does that make the 12 year old kid teaching me o.O preposterous! :p

Answer 23

! :P

Answer 24

you dont know how shameful it is in my part that a 12 year old kid knows a branch of mathematics that i dont o.O

Answer 25

Combinatorics is the probability where the Pascal's triangle is involved.

Answer 26

WAHHHH SHUSHHHH MIMI!!!! :p

Answer 27

You know the pascals triangle in the binomial theorem?

Answer 28

lol Pascal's triangle is totally related to Combinations

Answer 29

dont poison my peaceful mind T_T

Answer 30

im getting out of this post!!!

Answer 31

Hah dw combinatorics is easy.

Answer 32

No, combinations don't involve the pascals triangle. Combinatorics which is binomial probability involves the pascals triangle.

Answer 33

Probability of getting EXACTLY two heads out of 5 tosses is figured out thru combinatorics.

Answer 34

Binomial theorem is completely related to Combinations and Pascal's triangle.
Correction ^

Answer 35

Hah leave it lgba doesn't care.. let's spam his notifs now ;0

Answer 36

I have studied this before. Combinations is when \(r\) terms taken out randomly from \(n\) terms, the number of possibile combinations is \[\frac{n!}{r!(n-r)!} \]
And for Binomial Probability (combinatorics) in \(n\) trials there are only two outcomes for each trial.

Answer 37

"Binomial probability is the probability with the theory of the expansion of the binomial \(x+y^n\)

Answer 38

Actually combinatorics is nothing but the number of permutations over total number of possibilities.

Answer 39

\((x+y)^{n}\)*

Answer 40

No Parth.In Binomial probability all of the stages are identical and each stage has only two possible outcomes, conventionally called "success" and "failure", and not neccessarily equally likely.

Answer 41

P(Getting 2 heads in 5 tosses)= \({\Huge {\left ({5! \over3!} \right ) \over 2^5 } }\)

Answer 42

\( \color{Black}{\Rightarrow\Large {20 \over 32} = {5 \over 8} }\)

Answer 43

I don't think this is right :|

Answer 44

That does not look like binomial probability; however I am not sure. I am not good with probability. I am just telling you that Binomial probability involved the Pascals Triangle.

I don't think that you're right; I think it is doable by the Probability Tree Diagram. I am not certain though.

Answer 45

Nah no one needs tree diagrams :p

Answer 46

Yes for Multi Stage experiements.