Please ignore my solution. Please solve for me

26PA = 26! / (26-4)! = 261 / 22! = 26 X 25 X 24 X 23 X 221/221 = 358800 ??????? 8. Challenge: Suppose you are drawing r tiles from a box of n letter tiles, and order matters. A. How many choices are there for the first tile? n B. How many choices are there for the second tile? n-1 C. How many choices are there for the third tile? n-2 D. How many choices are there for the ph tile? (Careful!) n-r E. Based on your answers to the questions above, write an expression for ,P,. P, = Get the Gizmo ready: Activity B: . Set the Number of tiles in box to 5. Permutations and . Set the Number of draws from box to 5. factorials Check that Yes is chosen for Is order important? . Check that the TREE tab is selected. 1. How many permutations are possible when drawing 5 tiles from a box of 5 tiles? Show your calculation: 5 . 4 . 3 _2 . 1 120 Check your answer by selecting the NOTATION tab. 2. The calculation you just completed can be rewritten in a shorter way using factorials. The factorial of an integer is the product of the integer and all the positive integers below it. For example, 5! = 5 . 4 . 3 . 2 . 1, or 120. (Note: By definition 0! = 1.) Using the factorial notation, how many permutations are possible when choosing n tiles from a box of n tiles? P. = n! 3. In general, when drawing r tiles from a box of n tiles, if order matters, the number of possible permutations is: " P, = n . (n - 1) . (n - 2) .... . (n- r+ 1)