Question

To win a certain state lottery, players must correctly choose 4 numbers (in any order) from the numbers 1 to 40. How many different 4 number combinations are there?
A. 800
B. 91390
C. 160
D. 24

Answer 1

so any digit from 0-9 can be in one of the places

Answer 2

10x10x10x10 or 10^4

Answer 3

wait

Answer 4

my bad

Answer 5

I just got confused lol

Answer 6

0-9 means ten different possible numbers right?

Answer 7

you can have ten possible in four different 'slots'

Answer 8

lets say there were 2 slots

Answer 9

ok im following so far

Answer 10

and the first slot was a 0, while the second one changed... 01, 02, 03.... all the way to 09

Answer 11

so when the first slot is 0, there are ten different possibilities, because there are ten different numbers for the second slot

Answer 12

i forgot 00.. but you get the point

Answer 13

right so when i worked it out i got 160.....or did i do something wrong

Answer 14

What did you do to get 160?

Answer 15

I just took 160 and divided it by 4. I took all of the numbers and divided by 4 and 160 was the only one that gave me 4

Answer 16

@ganeshie8

Answer 17

Type "40 choose 4" in google

Answer 18

Ok i redid it and i got 91390

Answer 19

@sourwing please explain to me how this works.... I want to know... it was bothering the crap out of me that i couldnt do this somehow

Answer 20

But thank you!! next time I will keep that in mind! but i just took 40*39*38*37/1*2*3*4

Answer 21

@sourwing