If 4 items are chosen at random without replacement from 7 items, in how many ways can the 4 items be arranged, treating each arrangement as a different event (i. e., if order is important)?

a. 35
b. 840
c. 5040
d. 24

Scenario: susan wants to make 2 square flags to sell at a crafts fair. the fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over. what's the least amount of fabric she should buy? question: which equation will susan solve her problem? note: let x represent the length of 1 side of the flag. options: 1) 2x^2 = 4x 2) 8 +2x = 2(4x) 3) 2 * 2 = 4 * 2 4) 4x^2 -2x = 0