Question in Pic, URGENT

Solved

Show answers

Ответ:

renee9913

28.08.2021

Mathematics

163

Step-by-step explanation:

0 judges - C^8_0=1 way to vote

1 judge - C^8_1=8 ways to vote

2 judges-

$C^8_2=\dfrac{8!}{2!(8-2)!}=\dfrac{6!\cdot 7\cdot 8}{2\cdot 6!}=\dfrac{56}{2}=28$

ways to vote for 2 different judges

3 judges-

$C^8_3=\dfrac{8!}{3!(8-3)!}=\dfrac{5!\cdot 6\cdot 7\cdot 8}{2\cdot 3\cdot 5!}=\dfrac{6\cdot 56}{6}=56$

ways to vote for 3 different judges

4 judges-

$C^8_4=\dfrac{8!}{4!(8-4)!}=\dfrac{4!\cdot 5\cdot 6\cdot 7\cdot 8}{4!\cdot 4!}=\dfrac{5\cdot 6\cdot 7\cdot 8}{2\cdot 3\cdot 4}=5\cdot 7\cdot 2=70$

ways to vote for 4 different judges

In total, there are

1+8+28+56+70=163

different ways to vote.

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice