# Cards

How many ways can give away 32 playing cards to 5 player?

Result

x =  58905

#### Solution:

$k = 32; n = 5 \ \\ \ \\ x = C'_{32}( 5 ) = C_{32}( 5+32-1 ) = C_{{ 32}}(36) = \dbinom{ 36}{ 32} = \dfrac{ 36! }{ 32!(36-32)!} = \dfrac{ 36 \cdot 35 \cdot 34 \cdot 33 } { 4 \cdot 3 \cdot 2 \cdot 1 } = 58905$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 1 comment:
Anand
why isn't it 324 since every card we can give to 4 people and every card is non identical ?

1 year ago  2 Likes

Tips to related online calculators
Would you like to compute count of combinations?

## Next similar math problems:

1. Cinema
How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?
2. Three workplaces
How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace and 2 in the third?
How many ways can we thread 4 red, 5 blue and 6 yellow beads on the thread?
4. Permutations without repetition
From how many elements we can create 720 permutations without repetition?
5. Big factorial
How many zeros end number 116! ?
6. Combinations 6
6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap, and 1 strap. How many are possible combinations?
7. Committees
How many different committees of 6 people can be formed from a class of 30 students?
8. AS sequence
In an arithmetic sequence is given the difference d = -3 and a71 = 455. a) Determine the value of a62 b) Determine the sum of 71 members.
9. Value
Find the value of the expression: 6!·10^-3
10. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
11. 75th percentile (quartille Q3)
Find 75th percentile for 30,42,42,46,46,46,50,50,54
12. Median
The number of missed hours was recorded in 11 pupils: 5,12,6,8,10,7,5,110,2,5,6. Determine the median.
13. Calculation
How much is sum of square root of six and the square root of 225?
14. Six terms
Find the first six terms of the sequence a1 = -3, an = 2 * an-1
15. Linsys2
Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144