Memes4Life123
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Our school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if at most one of the triplets is in the starting lineup?

Respuesta :

konrad509

[tex] \displaystyle
3\cdot_{11}C_5+_{11}C_6=\\\\
3\cdot\dfrac{11!}{5!6!}+\dfrac{11!}{6!5!}=\\\\
3\cdot\dfrac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5}+\dfrac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5}=\\\\
3\cdot462+462=\\\\
1386+462=\boxed{1848} [/tex]

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