How many ways can you draw 3 queens and 2 kings from a deck of 52 cards?
You are to pick out 5 cards out of 8 possible ones; three queens out of the four possibles, and two kings out of the 4 possibles.
Out of 4 kings, how many 2-king combinations exist?
2, i guess?
Do not guess, think.
ok 2 ... coz there are 4 kings in a deck of 52 cards....
Try to think again. LOGICALLY. It isn't too hard.
First sub-question: How many 2-sets of kings exist if the king of spades is to be included?
Second sub-question: How many 2-sets of kings exist if the king of spades is NOT included?
since there's only 4 of them …
call them A B C and D, and write out all the possible pairs
2 if the king of spades is included and 1 if it is not.
This won't work, diceyfume.
You are obviously refusing to utilize your intellect, and are only interested in being spoonfed "answers".
I strongly advise you to quit maths, because your attitude makes you incompetent in it.
6 , ab, bc, cd, ad, ac, bd
Correct. Why didn't you start doing that on your own?
Now, how many sets of three queens can you form out of 4?
i guess its 6... i posted it... thanks, i'll just try next sem..
6 possibles for king right? and for queen how many?
call them A B C and D, and list the ways!
for the queen, abc,bcd, cda? am i corrct?
abc,bcd, cda, abd.... it's 4?
So, you have 6 2-sets of kings, and 4 3-sets of queens.
So, how many different combinations consisting of one king-set and one queen set can you then make?
abc. abd, cda, bcd, it's 4?
Yes, it's 4 …
but you can't list them like that in an exam , so what formula would you show the examiner (and what formula for the 6 ways of the kings)?
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