Asked by Desirae Whitmer on Apr 29, 2024
Verified
Evaluate the binomial coefficient 15C13{ } _ { 15 } C _ { 13 }15C13 .
A) 120120120
B) 300300300
C) 118118118
D) 317317317
E) 105105105
Binomial Coefficient
A quantifier showing the number of ways to choose a given number of items out of a larger set, regardless of order.
- Compute binomial coefficients and understand their properties.
Verified Answer
ZK
Zybrea KnightMay 02, 2024
Final Answer :
E
Explanation :
15C13=15!13!(15−13)!=15×142×1=105.{ } _ { 15 } C _ { 13 } = \frac{15!}{13!(15-13)!} = \frac{15 \times 14}{2 \times 1} = 105.15C13=13!(15−13)!15!=2×115×14=105.
Learning Objectives
- Compute binomial coefficients and understand their properties.