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BRAINLIEST AND MY THANKS. There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possible committees could be formed that include Mark? Note: Mark must be in the committee.

Respuesta :

keziakh004

Answer:

120

Step-by-step explanation:

Use the combination formula since order doesn't matter.

[tex]C=\frac{n!}{r!(n-r)!}[/tex]

There are 10 people (n = 10), and the committee will have 3 people (r = 3).

[tex]C=\frac{10!}{3!(10-3)!}\\C=\frac{10!}{3!7!}\\C=\frac{3628800}{(6)(5040)} \\C=\frac{3628800}{30240}\\ C = 120[/tex]

There are 120 possible committees that could be formed.