A three-person committee is needed to study ways of improving public transportation. Ho many committees...

Neil Sharp

Neil Sharp

Answered

2022-11-25

A three-person committee is needed to study ways of improving public transportation. Ho many committees could be formed from the eight people on the board of supervisors?

Answer & Explanation

Lauren Andrews

Lauren Andrews

Expert

2022-11-26Added 11 answers

We are looking for the no. of combinations of eight things taken three of a time.
We use the Formula,
n c r = n ! ( n r ) ! r ! n = 8 ,   r = 3. 8 c 3 8 ! ( 8 3 ) ! 3 ! 8 ! 5 ! 3 ! 8 7 6 5 ! 5 ! 3 2 1 56

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