Question

Use the formula for nCr to solve the following question.

To win at LOTTO in one state, one must correctly select 4 numbers from a collection of 62 numbers (1 through 62). The order in which the selection is made does not matter. How many different selections are possible?
Would I figure the question out by doing; 62x62x62x62?

Answer 1

are the numbers allowed to repeat or not? it makes a difference

Answer 2

if they are not allowed to repeat, then it is
\[\dbinom{62}{4}\] which is what your question says to use

Answer 3

The question is how it is and it says the order does not matter.

Answer 4

so to get my answer I would want to do (62/4) ? Or would i want to do what i mentioned above..

Answer 5

if the numbers are not allowed to repeat, like the balls coming out of the lotto machine, it would be 62 choose 4 which you can write as \(_{62}C_4\) or \(\binom{62}{4}\) either way

Answer 6

it is a rather large numbers, easily computed if you are on a computer
http://www.wolframalpha.com/input/?i=62+choose+4

Answer 7

Yeah i am getting 557845 I am pretty sure that is the answer i am looking for.

Answer 8

thank you!!