Fill in the blank with the appropriate problem number 18 19

Fill in the blank with the appropriate problem number (18, 19, or 20) and then give the solution (you may use scientific notation, rounded to the nearest tenth, if necessary).

24.) Problem 21 can be solved with the setup given in problem _________, and the solution to problem 21 is?

25.) Problem 22 can be solved with the setup given in problem _________, and the solution to problem 22 is?

26.) Problem 23 can be solved with the setup given in problem _________, and the solution to problem 23 is?

Problem 18 was: 900P30 (permutation)

Problem 19 was: 6.5.4.3.2.1 (factorial)

Problem 20 was: 50!/(50 - 5)! 5! (combination)

Problem 21 was: \"Six friends go to a movie. How many ways can they sit in a row of six seats?\"

Problem 22 was: \"In a sweepstakes with seven hundred entries, the first winner selected receives the grand prize, the second receives first prize, and so on until all thirty-five prizes are awarded. How many possible outcomes are there?\"

Problem 23 was: \"Of the fifty states, five are randomly selected to have their governor participate in a summit. How many different groups of governors can go?\"

Solution

18) 900P30 = 900!/(900-30)! = 900!/870!

= 2.600366137 10^88

19)  6.5.4.3.2.1 = factorial of 6 = 6! = 720

20) 50!/( 50-5)! 5! = 50C5 = 2.11876 *10^6

Problem no. 21 This is the answer of \"Six friends go to a movie. How many ways can they sit in a row of six seats?\"

22) \"In a sweepstakes with seven hundred entries, the first winner selected receives the grand prize, the second receives first prize, and so on until all thirty-five prizes are awarded. How many possible outcomes are there?\"

Solution this is problem no. 18 :   900P30 = 900!/(900-30)! = 900!/870!

23) \"Of the fifty states, five are randomly selected to have their governor participate in a summit. How many different groups of governors can go?\"

Solution to this problem: Problem no. 20: 50!/( 50-5)! 5! = 50C5 = 2.11876 *10^6