900 P30 counting principle combination factorial permutation

_900 P_30 counting principle combination factorial permutation 6 middot 5 middot 4 middot 3 middot 2 middot 1 counting principle combination factorial permutation 50!/(50 - 5)! 5 ! counting principle combination factorial permutation Sis friends go to a movies. How many ways can they in a row of six seats? counting principle combination factorial permutation In a sweepstakes with seven the first winner selected receives the grand prize the second receives first prize, and so on all thirty-five prizes are awarded. How many possible outcomes are there? counting principle combination factorial permutation Of the fifty states, five are randomly selected to have their governor participate in summit How many different group of governors can go? counting principle combination factorial permutation Problem 21 can be solved with the setup given in problem _____ and the solution to problem 21 is: Problem 22 can be solved with the setup given in problem _____ and the solution to problem 22 is: Problem 23 can be solved with the setup given in problem _____ and the solution to problem 23 is:

Solution

24) Fill in the blank will have 19

solution is

Six friends can sit in 6! ways = 6*5*4*3*2*1 = 720

25) Fill in the blank will have 18

Permutation will be used here too find the solution of 22nd problem

So,

⁷⁰⁰P₃₅ = 700!/(700-35)! = 700!/665!

26) Fill in the blank will have 20

Solution: combination will be used here as we have to only select 5 out of 50

50!/(50-5)!*5! = 50!/45! 5!