Answer:
1.19685 × 10¹⁶
Step-by-step explanation:
From the given information.
Since each players receives 5 cards; then = 5 * 4 = 20
Now, the process to go about this is to first select 5 cards out of 24 that goes to player 1. Then from the remaining 19, we can select another 5 cards that goes to player 2, etc. until 4 cards are left, out of which one is remained faced up. Thus, the 4 sets of 5 cards selected can be shuffled in 4! ways.
∴
No fo ways = [tex]^{24}C_5 \times ^{19}C_5 \times ^{14}C_5 \times ^{9}C_5 \times 4! \times ^{4}C_1[/tex]
[tex]= \dfrac{24!}{5!(24-5)!}\times \dfrac{19!}{5!(19-5)!}\times \dfrac{14!}{5!(14-5)!}\times \dfrac{9!}{5!4!}\times 4! \times \ \dfrac{4!}{1!(4-1)!}[/tex]
[tex]= \dfrac{24!}{5!^4}\times 4[/tex]
= 1.19685 × 10¹⁶
