Binomial expansion for positive integer powers Quiz

1. Find the value of $\binom73$.

• A. $21$
• B. $35$
• C. $210$
• D. $343$

2. Find the coefficient of $x^2$ in the expansion of $(3+x)^4$.

• A. $27$
• B. $12$
• C. $54$
• D. $18$

3. Which value equals $\binom52+\binom53$?

• A. $10$
• B. $15$
• C. $25$
• D. $\binom63$

4. Find the coefficient of $x^3$ in $(1-x)^5$.

• A. $-10$
• B. $10$
• C. $-5$
• D. $5$

5. Use the first three terms of $(1+x)^6$ with $x=0.01$ to estimate $1.01^6$.

• A. $1.0600$
• B. $1.0615$
• C. $1.0630$
• D. $1.0620$