They are closely related. The Binomial Theorem expands (a+b)ⁿ as the sum of a series of terms involving progressive powers of a and b with a coefficient based entirely on the exponent n. Coefficients of consecutive terms in the series are the same as the nth rows of Pascal’s Triangle. This means that the formula used for calculating the coefficients in the Binomial expansion is the same one used to calculate the numbers in the corresponding row of Pascal’s Triangle. The nomenclature ⁿcᵣ for the number of ways of combining r objects out of n objects invokes this formula.
Ladder makes a right triangle with the wall and ground. The hypotenuse = length of the ladder = 10 ft Let the height be h By Pythagorean theorem 10^2 = 3^2 + h^2 h^2 = 10^2 - 3^2 = 100 - 9 = 91 h = sqrt( 91) = 9.54 ft
