How many ways can you draw 3 queens and 2 kings from a deck of 52 cards?

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Discussion Overview

The discussion revolves around the combinatorial problem of determining the number of ways to draw 3 queens and 2 kings from a standard deck of 52 cards. Participants explore the mathematical reasoning behind combinations, specifically focusing on how to calculate the number of sets of queens and kings.

Discussion Character

  • Mathematical reasoning
  • Debate/contested
  • Homework-related

Main Points Raised

  • Participants discuss how to calculate the number of combinations of 2 kings from 4 available kings.
  • Some participants suggest that there are 2 combinations of kings, while others challenge this reasoning and prompt further logical thinking.
  • There is a proposal to list all possible pairs of kings to clarify the combinations.
  • Participants also explore how many sets of 3 queens can be formed from 4 queens, with varying responses regarding the correct number of combinations.
  • Some participants express frustration with others' approaches, suggesting a lack of effort in understanding the problem.
  • There is a mention of using different letters to represent kings and queens for clarity in combinations.
  • One participant indicates they are struggling with the material due to missing prior instruction on the topic.
  • Discussions about whether to add, subtract, or use other operations to find the total combinations arise, with some participants feeling insulted by the comments made about their understanding of math.

Areas of Agreement / Disagreement

There is no consensus on the correct number of combinations for drawing the cards, and multiple competing views remain regarding the calculations and approaches to the problem. The discussion reflects a mix of frustration and attempts to clarify mathematical reasoning.

Contextual Notes

Some participants express uncertainty about the formulas needed for solving the problem, and there are references to a lack of prior knowledge that may affect their understanding of the topic.

Who May Find This Useful

This discussion may be useful for individuals interested in combinatorial mathematics, particularly in the context of card games or probability problems, as well as those seeking to understand how to approach mathematical reasoning in problem-solving scenarios.

  • #31
Use, for example, upper case for kings, lower case for queens..
 
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  • #32
actually i was not around when our lecturer took this up so its kinda hard for me to answer these homeworks... I am doing research works but i end up to this forum.
 
  • #33
abc. abd, cda, bcd, AB, AC, AD, BC, BD,CD
 
  • #34
You have 6 sets of two kings, 4 sets of queens.

If it is hard for you to know whether you should add, subtract, divide, exponentiate, multiply or possibly take the root of 6 with 4 in order to know how many different combinations you can make (a combination consisting of 1 kingset AND a queenset), then your problem is not with your homework, but that you still struggle with the maths most 8-year olds master.
 
  • #35
diceyfume said:
actually i was not around when our lecturer took this up so its kinda hard for me to answer these homeworks... I am doing research works but i end up to this forum.

it would have helped if you'd said that in the first place …

ok, look at http://en.wikipedia.org/wiki/Combination
 
  • #36
:shy: thanks anyway.. I am insulted... thanks.. this forum is nice though...
 
  • #37
im good in math its just that i didnt know the formulas...thanks
 
  • #38
diceyfume said:
im good in math
No, you are not.
its just that i didnt know the formulas
You don't need to. Use your brain, instead of waiting to be spoonfed answers.

Furthermore, it is not an "insult" to you to say you struggle with the maths of 8-year olds, it happens to be an unfortunate fact.

Stating facts does not constitute an insult, however unpleasant those facts might be.
 
  • #39
how will i cancel or delete my account?
 
  • #40
diceyfume said:
how will i cancel or delete my account?

diceyfume, just look at that wikipedia article, and then try the question again …

if you don't understand something in the article, then ask us …

but please don't expect us to do the question for you :smile:
 
  • #41
thanks tiny-tim... tomorrow will be better, i need to get some sleep...
 
  • #42
A time out is certainly needed here, since this is doing no one any good. Diceyfume: have a think about the problem, and come back tomorrow with a clearer head. I am locking this thread for ~12 hours, to enable all to clear their heads.
 

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