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You have to divide a pack of 52 cards equally among 4 players.

Question

You have to divide a pack of $52$ cards equally among $4$ players. In how many ways the cards can be divided in $4$ sets, $3$ of them having $17$ cards each & the $4^{t h}$ with $1$ card

\frac{52 ! 4 !}{3 ! ( 17 ! ) ^{3}}

\frac{52 !}{( 3 ! ) ^{3} ( 17 !)}

\frac{52 !}{( 3 !) ( 17 !)}

\frac{52 !}{( 17 ! ) ^{3}}

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Levi Discussed

You have to divide a pack of

52

cards equally among

4

players. In how many ways the cards can be divided in

4

sets,

3

of them having

17

cards each & the

4^{t h}

with

1

card

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

First select

17

cards out of

52

cards in

^{52} C_{17}

Then select

17

from the remaining

35

cards in

^{35} C_{17}

Then select

17

again from the remaining

18

^{18} C_{17}

ways.

Total no. of ways

=

^{52} C_{17} \times^{35} C_{17} \times^{18} C_{17} \times 1 \times^{4} C_{3}

=

\frac{52 ! 4 !}{3 ! ( 17 ! ) ^{3}}

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Question Text	You have to divide a pack of $52$ cards equally among $4$ players. In how many ways the cards can be divided in $4$ sets, $3$ of them having $17$ cards each & the $4^{t h}$ with $1$ card
Answer Type	Text solution:1
Upvotes	150

You have to divide a pack of 52 cards equally among 4 players. In how many ways the cards can be divided in 4 sets, 3 of them having 17 cards each & the 4th with 1 card

Text solutionVerified

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You have to divide a pack of $52$ cards equally among $4$ players. In how many ways the cards can be divided in $4$ sets, $3$ of them having $17$ cards each & the $4^{t h}$ with $1$ card