# How many ways can you choose 4 cards from a deck of 52?

## How many ways can you choose 4 cards from a deck of 52?

Total ways possible = 1108 And this is the correct answer.

How many ways are there to choose 4 cards of different suits and different value?

There are 4 suits having 13 cards each. so total no of ways = 13c1 x 12c1 x 11c1 x 10c1 = 17160 ways.

### What is the number of ways of choosing 4 cards are the same suit?

In the very same process, we choose \$4\$cards out of the \$13\$ club cards in \$^{13}{C_4}\$ ways. Same as \$^{13}{C_4}\$ ways for heart and \$^{13}{C_4}\$ ways for spade. Hence the total number of ways of choosing four cards of the same suit is \$2860\$ . PART(ii): We choose four cards belonging to four different suits.

How many different ways can 4 cards be drawn from the deck?

Explanation: Those are the different ways to select 4 from 52 cards. 52C4=52!

#### How many combinations of 4 cards are there?

If you’ve got four cards you can arrange them in 4! = 24 ways. If you’ve got five cards you can arrange them in 5! = 120 ways.

How many ways can 3 of the same card be selected from the deck?

1 Expert Answer b) How many 3-element subsets are there in a 52-element set (without repetition)? To answer a), we note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52*51*50=132,600 ways. More generally, there are n!/(n-k)!

## What is the number of ways of choosing 4 cards of the same suits from Apack of 52 cards?

(i) There are four suits, namely diamond, club, spade, heart and each suit has 13 cards. We have to choose 4 cards of the same suit so 4 diamond cards out of 13 diamond cards can be selected in 13C4 ways.

How many ways are there to select 3 cards one after the other from a deck of 52 cards if the cards are not returned to the deck after being selected?

1 Expert Answer To answer a), we note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52*51*50=132,600 ways.

### How many cards to choose from a deck of 52 cards?

So, for now the target is to choose 4 cards from a deck of 52 cards. If So, your answer would be 52C4, because we have n = 52 (total cards in the deck) and r = 4 (the number of cards we desire to pick). But WHY !?! Let’s figure out why the answer to that question is nCr. Let there be some intuition!

How many ways can you choose face cards in 4 suits?

In how many of these (iii) are face cards, King Queen and Jack are face cards Number of face cards in One suit = 3 Total number of face cards = Number of face cards in 4 suits = 4 × 3 = 12 Hence, n = 12 Number of card to be selected = 4 So, r = 4 Required no of ways choosing face cards = 12C4 = 12!/4!(12 − 4)!

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#### What is the probability of getting 4 cards from a deck?

Yes. Alternatively, you can say there are (52 4) ways of picking four cards from a deck, and 134 ways to pick one card from each suit, so the probability is 134 (52 4) This is the exact same value you got, just arrived at differently.

How many combinations of 4 cards can be drawn from 52 cards?

270725, assuming that you mean how many combinations of 4 cards can be drawn from a deck of 52. There are infinitely many ways to actually choose the cards i.e., draw for cards from the top, throw them all up in the air and catch 4 as they fall, fan them out and have an assistant choose etc…