SOLUTION: strings of length 9 with elements being a, b or c. How many strings will contain at least 6 b’s I know the answer is 835 but I am looking for a formula or clarification on how t

Algebra ->  Probability-and-statistics -> SOLUTION: strings of length 9 with elements being a, b or c. How many strings will contain at least 6 b’s I know the answer is 835 but I am looking for a formula or clarification on how t      Log On


   



Question 371103: strings of length 9 with elements being a, b or c. How many strings will contain at least 6 b’s
I know the answer is 835 but I am looking for a formula or clarification on how the answer is derived please. Thank you.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
expand(b+a+c)^9
1 b^9
2*9 b^8...
2*36+72 b^7...
2*84+252*2 b^6...
-------add
835 strings will contain at least 9 b's.
.
Ed