Question

in how many ways can 20 people be seated around a a tabkr if there are only 9 chairs​

Answer 1

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Given:

There are 20 people and 9 chairs

Solution:

When we let them sit we have to choose 9 people from those 20

So $^{20} C_9$ will be the combination for this

Also

One will be fixed in the circular table

Therefore

arrangement of Those 8 will be 8!

So the total number of ways would be

$\implies 8! \times ^{20}C_9$