In how many ways can 10 people take seats in a row of 24 fixed seats so that no two persons take consecutive seats.

Question

Vikas TU · Answer

Vacant seat = 24-10 = 14
x0 can be greater than x0+x1+x2 +.....+x10 = 14
x0 can be greater than equal to 0 .
x0 + xy1 + y2 +..............+y9 + x10 + 9 = 14
x0 + y1 + y2 + ....... +y9 + x10 = 5
vacant seat which can be filled = 15c10
No of ways no 2 consecutive seats are taken = 10! * 15C10

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In how many ways can 10 people take seats in a row of 24 fixed seats so that no two persons take consecutive seats.

In how many ways can 10 people take seats in a row of 24 fixed seats so that no two persons take consecutive seats.

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In how many ways can 10 people take seats in a row of 24 fixed seats so that no two persons take consecutive seats.

In how many ways can 10 people take seats in a row of 24 fixed seats so that no two persons take consecutive seats.

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