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Considering the construction of a matrix as follows.

The $n$th row in the matrix is filled with the coeffcients of $x^r$ in the expansion of $(1+x)^n$ from the columns $2n$ to $3n$ inclusive and circle all the numbers that are divisible by $n$ in the same row

How would I find the number of columns for which all the elements in a column are circled in the first j columns given j = 547 ?

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    "How would I find the number of _columns_ for which all the elements in a _column_ are circled in the first j _columns_ given j = 547 ?" It feels that one of the "_columns_" must actually read "_rows_". Is the question correct?2011-07-27

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