10. Combinatorics & Probability

Use the Binomial Theorem to expand each binomial and express the result in simplified form. (y-3)⁴

Use the Binomial Theorem to expand each binomial and express the result in simplified form. (x²+2y)⁴

Use the Binomial Theorem to expand each binomial and express the result in simplified form. $(2x+1{)}^4$

Use the Binomial Theorem to expand each binomial and express the result in simplified form. $(5x\text{–}1{)}^3$

Use the Binomial Theorem to expand each binomial and express the result in simplified form. $(3x+y{)}^3$

Evaluate the given binomial coefficient. $\left(\frac{100}{2}\right)$

Evaluate the given binomial coefficient. $\left(\frac{6}{6}\right)$

Evaluate the given binomial coefficient. $\left(\frac{12}{1}\right)$

Evaluate the given binomial coefficient.$\left(\frac{8}{3}\right)$

Write the first three terms in the binomial expansion, expressing the result in simplified form. (x-3)^9

Use the Binomial Theorem to expand the binomial and express the result in simplified form. ((x^2)-1)^4

Use the Binomial Theorem to expand the binomial and express the result in simplified form. (2x+1)^3

Find the term indicated in the expansion. (2x-3)^6; fifth term

Evaluate the given binomial coefficient 11 8

Find the term in the expansion of (x² + y²)⁵ containing x⁴ as a factor.