Question

Find the number of 5 card hands that can be drawn from a deck of 52 cards

Answer 1

a Combination

Answer 2

There are


52 cards for the 1st draw
51 cards for the 2nd draw
50 cards for the 3rd draw
49 cards for the 4th draw
48 cards for the 5th draw


So there are 52*51*50*49*48 = ??? ways total to draw 5 cards IF ORDER MATTERS


Since order does NOT matter, this means that we must divide the result by 5! = 5*4*3*2*1 = 120 to remove any duplicates.

Answer 3

I should say

"52 cards for the 1st draw"

really means

"52 cards to choose from for the 1st draw"

and this rewording applies to each line from 52 on down to 48

Answer 4

so I would multiply 52 5 times?

Answer 5

no, not quite

Answer 6

that would only be the case if you replaced each card you drew

Answer 7

so i would divide

Answer 8

you would first compute 52*51*50*49*48

Answer 9

then you would divide by 120

Answer 10

so 2598960 would be the answwe

Answer 11

*answer

Answer 12

yep

Answer 13

thank you:)

Answer 14

np