## moli1993 one year ago The minimum number of cards to be dealt from an arbitrary shuffled deck of 52 cards to guarantee that 3 cards are from the same suit are?

1. AkashdeepDeb

Here they want us to calculate the possible combinations of getting 3 cards from the same suit. 1 suit has 13 cards. So you want to select 3 cards from any set of the 4 sets (hearts, clubs, spades, diamonds) containing 13 cards each. As you have to make a selection of 3 cards from 13 cards. The answer would be, \[{^{13}C_3}\]

2. AkashdeepDeb

Actually, my bad! As there are 4 such suits, there is a possibility that you may get it from either of the 4 sets of 13 cards. So the final answer would actually be: \[^{13}C_3 + ^{13}C_3 + ^{13}C_3 + ^{13}C_3 ~~or~~ 4 * ^{13}C_3\] Getting this? :)

3. moli1993

what i can see is So the final answer would actually be: \[^{13}C_3 + ^{13}C_3 + ^{13}C_3 + ^{13}C_3 ~~or~~ 4 * ^{13}C_3\]

4. moli1993

i think it's not showing up the correct format of wht u wanna convey here !

5. AkashdeepDeb

There must be a problem with the website now. I am not being able to copy and paste anything here too. Let me message you the answer, hold on.

6. moli1993

thank you :)

7. ganeshie8

best case 3, worst case 9 so answer should be 9

8. AkashdeepDeb

Yeah, I corrected that for @moli1993 thanks, @ganeshie8 ! :D