Asked by Ikhlas Salih on May 16, 2024
Verified
Use Pascal s Triangle to evaluate 6C4{ } _ { 6 } C _ { 4 }6C4 .
A) 303030
B) 360360360
C) 151515
D) 242424
E) 696696696
Pascal's Triangle
A triangular array of numbers in which the edges are 1's, and each interior number is the sum of the two numbers directly above it.
Binomial Coefficient
The number of ways to choose a fixed number of elements out of a larger set, commonly represented as "n choose k."
- Adopt the binomial theorem and Pascal's triangle for solving problems in the domain of binomial expansion.
Verified Answer
NM
Natália MaedaMay 23, 2024
Final Answer :
C
Explanation :
We use Pascal's Triangle to find 6C4{ } _ { 6 } C _ { 4 }6C4 :
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
5 10 10 5 (6th row)
6C4{ } _ { 6 } C _ { 4 } 6C4 is the 4th number in the 6th row, which is 15. Therefore, the answer is C.
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
5 10 10 5 (6th row)
6C4{ } _ { 6 } C _ { 4 } 6C4 is the 4th number in the 6th row, which is 15. Therefore, the answer is C.
Learning Objectives
- Adopt the binomial theorem and Pascal's triangle for solving problems in the domain of binomial expansion.