The number of ways to find a password with 7keys out of 9keys

1.	The number of ways to find a password with 7keys out of 9keys
Answer» Answer: 181440 Step-by-step EXPLANATION: imagine 7 place HOLDERS as digits of passwords _ _ _ _ _ _ _ now imagine you have basket of 9 entity at START you have a total of 9 objects you can place in the first place holder. you KEEP and similarly in the second placeholder you can place any object from a total of 8 objects. if you continue this pattern and apply the principle of counting to you'll end up with 9876543 _ _ _ _ _ _ _ multiply these values to get your answer . you can shorten this process by the formula (9!)/(9-7)!

Answer»

Answer:

181440

Step-by-step EXPLANATION:

imagine 7 place HOLDERS as digits of passwords

_ _ _ _ _ _ _ now imagine you have basket of 9 entity

at START you have a total of 9 objects you can place in the first place holder.

you KEEP and similarly in the second placeholder you can place any object from a total of 8 objects. if you continue this pattern and apply the principle of counting to you'll end up with

9*8*7*6*5*4*3

_ _ _ _ _ _ _

multiply these values to get your answer .

you can shorten this process by the formula

(9!)/(9-7)!

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