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julia-pushkina [17]
3 years ago
15

How many different arrangements can be made with ten pieces of silverware laid in a row if three are identical spoons, four are

identical forks, and three are identical knifes
Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0

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 \frac{m!}{n!}

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 = \frac{10!}{3!*4!*3!} = 4200




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