Question

Find the total number of ways in which 10 persons can be seated in 8 seats

Answer 1

the total no of ways in which 10 persons can be seated in 8 seats iszero

Answer 2

The total number of ways in which 10 persons can be seated in 8 seats is 45

Step-by-step explanation:

Total no. of persons = 10

No. of seats = 8

So, No. of persons can be seated = 8

So, We are supposed to find the total number of ways in which 10 persons can be seated in 8 seats

So, We will use combination:

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

n = 10

r = 8

So, total number of ways =$^{10}C_8=\frac{10!}{8!(10-8)!}=45$

Hence the total number of ways in which 10 persons can be seated in 8 seats is 45

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