Question 1
There are 5 letters (B, O, K, E, R) and there is a total of 10 letters to make up the word.
There are
![\frac{10!}{(10-6)!6!}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%21%7D%7B%2810-6%29%216%21%7D%20)
ways of arranging the letters, which equal to 210 ways
Question 2
There are seven swimmers in total.
There are
![\frac{7!}{(7-1)!1!}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%21%7D%7B%287-1%29%211%21%7D%20)
ways of choosing the first winner, which is 7 ways
There are
![\frac{6!}{(6-1)!1!}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%21%7D%7B%286-1%29%211%21%7D%20)
ways of choosing the second winner, which is 6 ways
There are
![\frac{5!}{(5-1)!1!}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%21%7D%7B%285-1%29%211%21%7D%20)
ways of choosing the third winner, which is 5 ways
There are 7×6×5=210 ways of choosing first, second, and third winner
Question 3
The probability of eating an orange and a red candy is
![\frac{15}{31}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B31%7D%20)
×
![\frac{9}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B30%7D%20)
, which equals to
![\frac{9}{62}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B62%7D%20)
The probability of eating two green candies is
![\frac{7}{31}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B31%7D%20)
×
![\frac{6}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B30%7D%20)
which equals to
Answer:
7.17 km
Step-by-step explanation:
please like my answer and brainliest me......huhu
3 x 5 = 15 because the opposite of dividing is multiplying