There are 12 students in a math league competition. a) Cash prizes are given out to the top 3 performers. First place wins $200. Second place wins $100. Third place wins $50. How many different possible ways are there to give out the 3 prizes if each student is allowed to win no more than one prize? b) In addition,4 of the 12 competitors are randomly selected to win a subscription to the Mathematical Weekly journal, How many different groups of 4 winners may be selected from the 12 contestants?

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.