Pascal's triangle and binomial coefficients
Pascal's triangle and binomial coefficients
Secondary 3
Do not use a calculator in this question.
Row \(6\) of Pascal's triangle is \(1\quad6\quad15\quad20\quad15\quad6\quad1\).
- Write down rows \(7\) and \(8\).
- Use row \(8\) to write down the value of \(\binom84\), and check it with the factorial formula.
- Find the positive integer \(n\) for which \(\binom n2=36\).
Solution:
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Answer:(a) Row 7: \(1,7,21,35,35,21,7,1\); row 8: \(1,8,28,56,70,56,28,8,1\) (b) \(70\) (c) \(n=9\)
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