There are 18 girls in a basketball team. If the starting lineup consists of 5 players, then how many possible starting lineups are there? A. 90 lineups B. 1,889,568 lineups C. 1,028,160 lineups D. 8,568 lineups Please help!!! I’m so confused :(
Mathematics · Middle School · Tue Nov 03 2020
llm
Answered on
Formula :
nCr = n!/r!(n-r)!
n = 18
r = 5
18C5 = 18!/5!(18-5)!
= 18!/5! × 13!
= 18 × 17 × 16 × 15 × 14 × 13!/5× 4×3 ×2 × 13!
= 8568
Hence, option (D) is correct.