Final answer:
The ability to nominate ambassadors who are to be approved by a majority of the senate falls into the category of Organizational powers of the presidency.
Step-by-step explanation:
The ability to nominate ambassadors who are to be approved by a majority of the senate falls into the category of Organizational powers of the presidency.
According to the Constitution, the President has the power to nominate ambassadors, other public ministers and consuls, judges of the Supreme Court, and all other officers of the United States. However, these nominations require the advice and consent of the Senate. This means that the Senate must give majority vote approval for a nominee to be confirmed.
Therefore, the power to nominate ambassadors with the need for Senate approval falls under the organizational powers of the President.