Find the largest value of n so that 3^n divides (25!+26!).
Hello candidate,
This problem needs to be solved by the use of binomial theorem where we have to expand each term using its binomial coefficients and then divide it with 3 raise to the power n term in order to get the nearest value of n possible.
But because of a limitation in the number of answering modes available, sorry but it's not possible for me to reduce the entire expression here. But, I would suggest you to rather expand the term in binomial form and rather going by heat and trial methods, and you will get your answer easily with this method.
Have a good day.