I noticed that the powers on each term in the expansion always added up to whatever n was and that the terms counted up from zero to nReturning to our intial example of 3x 2 10 the powers on every term of the expansion will add up to 10 and the powers on the terms will increment by. N C r i r 1 n 1 i C r 1. This is what I came up with.
NPR Permutations And NCR Combinations Calculator.
I could never remember the formula for the Binomial Theorem so instead I just learned how it worked. Where C nr Combinations nCr. N - r where n represents the number of items and r represents the number of items being chosen at a time. The formula show us the number of ways a sample of r elements can be obtained from a larger set of n distinguishable objects where order does not matter and repetitions are not allowed.