Explanation:
To reverse the lower court's decision, the Supreme Court must have a majority decision in favor of reversal. There are 9 judges in the Supreme Court, and they can either vote for or against reversal. Therefore, the number of ways to form a majority decision is the number of combinations of 5 or 6 judges out of 9.

Calculation:
The formula for the number of combinations of r objects out of n is:

nCr = n! / r!(n-r)!

Using this formula, the number of ways to form a majority decision is:

9C5 + 9C6
= 9! / 5!(9-5)! + 9! / 6!(9-6)!
= 126 + 84
= 210

However, the question asks for the number of ways to form a majority decision that reverses the lower court's decision. This means that the majority decision must be against the lower court's decision, which was upheld. Out of the 9 judges, 3 voted in favor of upholding the lower court's decision, so at least 4 judges must vote against it. Therefore, the number of ways to form a majority decision that reverses the lower court's decision is:

9C4 + 9C5 + 9C6
= 9! / 4!(9-4)! + 9! / 5!(9-5)! + 9! / 6!(9-6)!
= 126 + 126 + 84
= 336

However, the question asks for the total number of ways to form a majority decision, including those that uphold the lower court's decision. Therefore, the number of ways to form a majority decision is:

Total number of ways = 336 + 210
= 546

Answer:
The number of ways the Supreme Court can give a majority decision reversing the lower court is 546. Therefore, the answer is (e) None of the above.