Slide 2:
Find the number of permutations of the letters
L, A, K, and E Permutations are the arrangements of items in a particular order.
Slide 3:
L, A, K, and E The 1st letter can be any of the four letters. 4 First
letter 3 2 1 You have three choices for the second, two choices for the third, and one choice for the fourth letter. Fourth
letter third
letter second
letter 24 There are 24 different permutations
Slide 4:
The colors of four socks are listed. You decide to pack two socks. How many combinations of two socks are possible? Combinations are the grouping of objects in which the order does not matter.
Slide 5:
Make a list of all possible permutations. Let the letters represent the socks (b,y) (y,b) (g,b) (r,b) (b,g) (y,g) (g,y) (r,y) (b,r) (y,r) (g,r) (r,g)
Slide 6:
Cross out any group containing the same letters as another group. Let the letters represent the socks (b,y) (y,b) (g,b) (r,b) (b,g) (y,g) (g,y) (r,y) (b,r) (y,r) (g,r) (r,g) There are Six different combinations of two colors are possible.