How many different arrangements can be made with ten pieces of silverware laid in a row if three are identical spoons, four are
1 answer:
10 pieces of silverware laid in a row if 3 are identical spoons, 4 are identical forks, and 3 are identical knifes
The arrangement of 'm' objects on which 'n' objects are of same kind is
Given: 10 pieces of silverware so its 10!
3 are identical spoons so its 3!
4 are identical forks so its 4!
and 3 are identical knifes so its 3!
Arrangements made = = 4200
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The answer is 8
Here's why:
The exponents are subtracted one from another when divided.
We can look at the problem this way:
Since we have the power of -1 on the 3, we apply this rule:
Also this rule because we have the power of 1 on the 6:
Then we get this:
We apply the rule:
We get this:
Here's why:
The exponents are subtracted one from another when divided.
We can look at the problem this way:
Since we have the power of -1 on the 3, we apply this rule:
Also this rule because we have the power of 1 on the 6:
Then we get this:
We apply the rule:
We get this: