SOLUTION: Determine the term in Pascal's Triangle that these equations would lead you to: {{{t(6,2)+t(6,3)}}} Show ALL steps and explanations please, thank you.

Algebra ->  Permutations -> SOLUTION: Determine the term in Pascal's Triangle that these equations would lead you to: {{{t(6,2)+t(6,3)}}} Show ALL steps and explanations please, thank you.      Log On


   

Question 945542: Determine the term in Pascal's Triangle that these equations would lead you to:
t%286%2C2%29%2Bt%286%2C3%29 Show ALL steps and explanations please, thank you.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
                1
              1   1
            1   2   1
          1   3   3   1
        1   4   6   4   1
      1   5  10  10   5   1
    1   6  15  20  15   6   1
  1   7  21  35  35  21   7    1  
1   8  28  56  70  56  28    8   1

Add the two red numbers, get the green number 

15 + 20 = 35

red%28%28matrix%282%2C1%2C6%2C2%29%29%29%22%22%2B%22%22red%28%28matrix%282%2C1%2C6%2C3%29%29%29%22%22=%22%22green%28%28matrix%282%2C1%2C7%2C3%29%29%29

red%286%21%2F%282%21%286-2%29%21%29%29%22%22%2B%22%22red%286%21%2F%283%21%286-3%29%21%29%29 %22%22=%22%22 green%287%21%2F%283%21%287-3%29%21%29%29

red%286%21%2F%282%214%21%29%29%22%22%2B%22%22red%286%21%2F%283%213%21%29%29 %22%22=%22%22 green%287%21%2F%283%214%21%29%29

red%28720%2F%282%2A24%29%29%22%22%2B%22%22red%28720%2F%286%2A6%29%29 %22%22=%22%22 green%285040%2F%286%2A24%29%29

red%28720%2F48%29%22%22%2B%22%22red%28720%2F36%29 %22%22=%22%22 green%285040%2F144%29

red%2815%29%22%22%2B%22%22red%2820%29 %22%22=%22%22 green%2835%29

Edwin