The answer explains how to calculate the number of ways to assign 5 positions from a team of 14 members for a baseball game using combinations.
To determine the number of ways to assign 5 positions out of 14 members for a baseball game, we use the concept of combinations, specifically the formula for combinations. In this case, we are calculating 14 choose 5.
The formula for combinations is nCr = n! / (r! (n - r)!). Substituting the values, 14 choose 5 = 14! / (5! (14 - 5)!) = 2002.
Therefore, there are 2002 ways to assign 5 positions from a team of 14 members for a baseball game.
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