these have to do with permutations please answer ALL of the questions and show all of your work so it is easy to understand.

1)In how many ways can all of the letters of the word BOOKKEEPER be arranged ifthe arrangement must start with K and end with O?

2)Using all of the digits {1,1,1,2,2,3,3}, how many positive seven-digit integers can be writtenthat begin and end in 3?

3)How many positive 3-digit integers can be written that contain 3 different odd digits?

4)How many 5-digit numbers can be formed by selecting different digits from { 1 ,2 ,3, ..., 9}?

5)How many 5-letter arrangements are possible by selecting 5 different letters from the alphabet?

6)How many more arrangements are there from all of the letters of the word MARMALADE than there are from all of the letters of the word MARINADE?

7)In how many ways can all of the letters of the word BOOKKEEPER be arranged ifthe vowels must all be together?

8)In how many ways can all of the letters of the word BOOKKEEPER be arranged ifthe arrangement must start with B?

9)Using all of the digits {1,1,1,2,2,3,3}, how many positive seven-digit integers can be writtenthathavethree consecutive1's?

10)Using all of the digits {1,1,1,2,2,3,3}, how many positive seven-digit integers can be writtenthat begin and end in 1?

11)In how many ways might gold, silver, and bronze medals be awarded to 6 finalists in a 100 m sprint?

12)How many arrangements of 3 or more letters can be made by using different letters from the word FRIDAY?

13)In how many ways can all of the letters of the word BOOKKEEPER be arranged ifthe middle two letters must be B and R?

14)In a cola taste test, 5 glasses of Pepsi and 5 glasses of Coke were placed at random in a line. In how many orders can the 10 glasses of cola be arranged?

15)In how many ways can all of the letters of the word BOOKKEEPER be arranged ifthe vowels must all be together and the consonants must all be together?

16)In how many ways can 3 yellow beads, 4 blue beads and 2 black beads be strung along a straight wire if all of the beads are identical except for color?

17)In how many ways can all of the letters of the word CANADA be arranged?

18)Using all of the digits {1,1,1,2,2,3,3}, how many positive seven-digit integers can be written thathave 3 as the middle digit?

19)In how many ways can 6 identical math texts and 3 identical physics texts be arranged on a shelf? Assume the books are arranged right-side-up with the spine facing outwards

20)In how many different orders can a team win 4 games and lose 3 games in a seven-game round-robin tournament ?