You are trying to cast four roles for a play. 12 actors try out, including Sir Ian McKellen and Patrick Stewart. The director tells you that in order to bring in the crowds, you must include at least one of Sir Ian and Patrick in the cast. How many casts are possible? (A) 285 (B) 1980 (C) 5040 (D) 11880 (E} None of the above Ausweri

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Q: From where we get this answer?

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A: Empty or null set:-The empty set is the unique set having no elements

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A: The given sample mean is 484 and sample standard deviation is 76.

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A: We will find revenue and then profit using  profit = revenue - cost

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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.