## Question

### Solution

Correct option is

15

Let no. of participants at the beginning were n.

Now, left players are n – 2

According to question :

n – 2C2 + 3 + 3 = 84

#### SIMILAR QUESTIONS

Q1

There are 20 persons among whom are two brothers. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two brothers.

Q2

In how many ways can a party of 4 men and 4 women be seated at a circular table so that no two women are adjacent?

Q3

There are 5 gentlemen and 4 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are together?

Q4

Find the number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated.

Q5

How many integral solutions are there to x + y + z + = 29, when  1, y≥ 2, z ≥ 3 and t ≥ 0?

Q6

How many integral solutions are there to the system of equations

x1 + x2 + x3 + x4 + x5 = 20 and x1 + x2 + x3 = 5 when xk ≥ 0?

Q7

There are n points in a plane of which no three are in a straight line except ‘m’ which are all in a straight line. Then the number of different quadrilaterals, that can be formed with the given points as vertices, is :

Q8

A father with 8 children takes 3 at a time go to the zoological Garden, as often as he can without taking the same 3 children together more than once. The number of times he will go to the garden is :

Q9

The number of divisors a number 38808 can have, excluding 1 and the number itself is :

Q10

The number of distinct rational numbers x such that 0 < x < 1 and p/q, where p, q ∈ {1, 2, 3, 4, 5, 6}, is: