(6) In this problem, we are concerned with two dimensional arrays (matrices) that have 20 rows...

 

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(6) In this problem, we are concerned with two dimensional arrays (matrices) that have 20 rows and 20 columns; further, each entry is a 0 or a 1. How many such matrices are there in each of which (6a) (4 pts) among the total of 100 entries in the first 5 rows, exactly 30 are ones (and there are no other restrictions)? (6b) (4 pts) every row has exactly 5 ones? (6) In this problem, we are concerned with two dimensional arrays (matrices) that have 20 rows and 20 columns; further, each entry is a 0 or a 1. How many such matrices are there in each of which (6a) (4 pts) among the total of 100 entries in the first 5 rows, exactly 30 are ones (and there are no other restrictions)? (6b) (4 pts) every row has exactly 5 ones?