Binomial Theorem - Binomial Coefficients and Pascal's Triangle
Binomial Theorem - Binomial Coefficients and Pascal's Triangle
IP 4
Evaluate the following without using a calculator.
- \(\binom{6}{2}\)
- \(\binom{5}{3}\)
- \(\binom{n+1}{3}\) in terms of \(n\)
- \(\binom{n}{1}\) in terms of \(n\)
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Answer:(a) \(15\) (b) \(10\) (c) \(\displaystyle \frac{n(n-1)(n+1)}{6}\) (d) \(n\)
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