Does any number appear exactly 5 times in Pascal's triangle?

Pascal's triangle is a triangle of whole number formed by starting with a 1 at the top, then putting two 1's in the next row below, and then continuing as in the figure, such that each entry is the sum of the two numbers above to the left and the right, except that each row starts and ends with 1's. Continuing this pattern forever, is there any number that you will encounter exactly 5 times, no more, no less?