How many ways can you arrange a bating line up of 9 players out of the 17 on your team?

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How many ways can you arrange a bating line up of 9 players out of the 17 on your team?

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Answer 1 · 2015-10-20T11:10:13

$8821612800$ $8821612800$ different ways

Explanation:

This is equivalent to asking in how many ways can you choose 9 out of an available 17 and arrange them in an order.

Hence the answer is the permutation

$^{17} P_{9} = \frac{17!}{(17 - 9)!}$ $""^17P_9=(17!)/((17-9)!)$

$= \frac{17 \times 16 \times 15 \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 \times 8!}{8!}$ $=(17xx16xx15xx14xx13xx12xx11xx10xx9xx8!)/(8!)$

$= 8821612800$ $=8821612800$

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How many ways can you arrange a bating line up of 9 players out of the 17 on your team?

1 Answer

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