Question

Lotto selections To win a state lottery game, a player must
correctly select six numbers from the numbers 1 through 49.
(a) Find the total number of selections possible.
(b) Work part (a) if a player selects only even numbers.

Answer 1

do you know combination formula?

Answer 2

\[C (n,k) = \frac{ n! }{ k! (n-k)! }\]

Answer 3

but i don't know hot to translate the question in math terms

Answer 4

how*

Answer 5

what do n and k mean?

Answer 6

n is the number of things that i have and k the number of places that i could take

Answer 7

well im not sure

Answer 8

close, n is, indeed, the number of given objects. k means the number of objects you select in such a way that order does not matter.

In this case, n = 49 (because there 49 numbers)
k = 6 (because you select 6 numbers)

Answer 9

\[\frac{ 49*48..43! }{ 6!*43! }\]

Answer 10

the expression would be like this ?

Answer 11

no, more like
(49 * 48 * ... * 2 * 1) / (43! 6!)

Answer 12

oh wait you're right. I didn't see that factorial after 43

Answer 13

hey man i have a doubt the magnitude of a permutation is always greater than a combination ?

Answer 14

yes.

Answer 15

is cause the denominator has a extra k ?

Answer 16

this is tough one, is prob..

In one version of a popular lottery
game, a player selects six of the numbers from 1 to 54.
The agency in charge of the lottery also selects six numbers.
What is the probability that the player will match the six
numbers if two50¢ tickets are purchased? (This jackpot is
worth at least $2 million in prize money and grows according
to the number of tickets sold.)

Answer 17

I'll give you the medal, please help