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How many ways can 9 bowling balls be arranged on the upper rack of a bowling ball rack?
Anabell23
There are nine possibilities for the first ball.
Since there would then be eight balls left, there are eight possibilities for the second ball for each of the nine first balls. 9 x 8 = 72 possible combinations, so far.
Then there would be seven possible third balls for each of those combinations, etc.
Doing the calculation all the way through, you get the formula:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880 possible combinations.
This kind of a math problem is called a COMBINATION, and the formula used to calculate it is called a FACTORIAL. The abbreviation for a factorial is the bang (exclamation point), so another way to write the above equation would be:
9! = 362,880.
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