No. A cabinet is a group of advisers and not even mentioned in the constitution.
yours moms amendment
No, the president is not mandated to have a cabinet. It would not be advisable for a president to go without a cabinet because they act to help the president make educated decision on policies. The Constitution does not mention anything about the president's cabinet.
yes
No, but every president has had one.
Assuming the President cannot or will not do so himself/herself, according to the US Constitution, Amendment XXV, it's the Vice President plus a majority of Cabinet officers (in writing).
The President.
Written notice of a U.S. President's inability to act as President must be sent to the President pro-tempore of the Senate and the Speaker of the House of Representatives by the President himself or by the Vice President and a majority of the President's Cabinet (25th Amendment to the U.S. Constitution).
According to Section 4 of the 25th Amendment to the U.S. Constitution, after the Vice President and a majority of the President's cabinet declare in writing to the President Pro Tempore of the Senate and the Speaker of the House that the President is unable to perform his duties as President, and the President declares in writing to the Senate President Pro Tempore and the Speaker that no disability exists, the Vice President and the Cabinet have four days to repeat their written declarations to Congress. Congress then has 21 days to make their decision.
President's cabinet
Tenure of Office Act of 1867
The cabinet of the president of the United States is not specifically mentioned in the Constitution. However, allowances were made for the creation of the Executive Branch which is lead by the president.
A cabinet position is not an official position in government -- there is no constitutional amendment or law requiring or prohibiting a cabinet. Therefore, the President of the United States may appoint or fire any member of his cabinet that he sees fit. The President may also create new cabinet positions or destroy positions at his sole discretion. The President may also choose to have no cabinet at all. In short, the President appoints a person to be in his cabinet, and that person is in.