On a 12-player baseball team, 79,833,600 different ways can the coach order 9 players in a batting lineup which is correct option (D).
A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.
There are 12 possible candidates for the first spot in the lineup, 11 candidates for the second spot, and so on down to 5 candidates for the ninth position. So there are
⇒ 12 × • • • × 5 = 199558400 possibilities.
Since, we have 12 players, we need to choose different ways can the coach order 9 players in a batting lineup.
So, the formula as :
⇒ 12!/(12−9)!
⇒ 12!/3!
⇒ 79,833,600
Hence, On a 12-player baseball team, 79,833,600 different ways can the coach order 9 players in a batting lineup which is correct option (D).
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