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

ways of arranging the letters, which equal to 210 ways
Question 2
There are seven swimmers in total.
There are

ways of choosing the first winner, which is 7 ways
There are

ways of choosing the second winner, which is 6 ways
There are

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

×

, which equals to

The probability of eating two green candies is

×

which equals to
Total number of muffins = 12 muffins
Total number of people sharing muffin = 8
Muffins each person will receive = Total number of muffins
---------------------------------
People sharing muffins
= 12/8
= 1 1/2 OR 1.5 muffins
The answer is k=64×8
k=512