What is considered a traveling violation in basketball?

Traveling is defined as a violation that occurs when a player holding the ball moves one or both of their feet illegally. This typically involves taking too many steps without dribbling the ball. According to the rules, a player is allowed to take two steps after gathering the ball while dribbling. If a player exceeds these steps without dribbling again, it is considered traveling.

The other choices do not accurately represent the violation of traveling. For instance, dribbling the ball with both hands is categorized as a double dribble, while running with the ball without dribbling pertains to traveling as well, but it doesn't specify the step limitation that defines the violation. Falling while holding the ball does not inherently involve a violation unless the player has already traveled before falling. Hence, taking too many steps without dribbling is the correct definition of a traveling violation.