SOLUTION: In how many ways can three aces be drawn from a standard deck of 52 cards? MY WORK SO FAR: Im not sure which approach to take on this problem. 52 cards=n 3 aces=r 52!/(52-

Question 429255: In how many ways can three aces be drawn from a standard deck of 52 cards?
MY WORK SO FAR:
Im not sure which approach to take on this problem.
52 cards=n
3 aces=r
52!/(52-3)!
52!/49!
52x51x50x49x.../49x48x47x...
52x51x50=132,600
OR
I know there are 52 cards in a deck, 4 suits in a deck with one ace each, so 4 aces in a deck.
so...
n=4
r=3
4!/(4-3)!
4!/1!
4x3x2x1=24
I need help!
Found 2 solutions by sudhanshu_kmr, richard1234:
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!

there are 4 aces ...
no. of ways = 4C3
= 4

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Your first "solution" actually suggested the number of ways to pick three of *any* card out of a deck of 52 cards, where the order does matter.

The second solution is closer, you picked three aces out of four cards, using the expression 4P3. However this over-counts quite a bit, because 4P3 assumes the order also matters. Since we are choosing three aces and the order is assumed not to matter, it would be represented as 4C3, or 4!/(3!1!), which is equal to 4.
RELATED QUESTIONS
In how many ways can three diamonds be drawn from a standard deck of 52... (answered by Alan3354)
Suppose four cards are drawn from a deck of cards. In how many ways can four aces be... (answered by stanbon)
six cards are to be drawn or delt, without replacement, from a deck of 52 cards. In how... (answered by edjones)
1.) How many different ways can 3 cards be drawn from a deck of 52 cards without... (answered by Boreal,ikleyn)
In how many ways can three cards be selected from a 52-card deck if the selected cards... (answered by Alan3354)
Please help me solve this problem. In how many ways can 2 kings be... (answered by robertb)
how many different 5 card hands can be drawn from a standard deck of 52... (answered by drk,solver91311)
In how many ways can a 3 card hand be dealt from a standard deck of 52 cards if all are... (answered by Alan3354)
in how manuy different ways can two clubs be drawn from a standard deck of... (answered by stanbon)