Asked by Ikhlas Salih on May 16, 2024

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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.
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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.