There are 6 members of the student council and there are 10 chairs in their meeting room. If all 6 members

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

4 0

The number of different seating arrangements is an illustration of permutation

There are 151200 different seating arrangements

<h3>How to determine the number of sitting arrangements</h3>

The number of seats (n) is given as:

n = 10

The number of people (r) is given as:

r = 6

So, the number of seating arrangements is:

$^nP_r = \frac{n!}{(n - r)!}$

This gives

$^{10}P_6 = \frac{10!}{(10 - 6)!}$

Simplify

$^{10}P_6 = \frac{10!}{4!}$

Evaluate the quotient

$^{10}P_6 = 151200$

Hence, there are 151200 different seating arrangements

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