## Question

### Solution

Correct option is

None of these

The required number of ways

= the number of ways in which 8 girls can sit – the number of  ways in which two sisters are together

= 8! – (2) (7!) = 30240.

#### SIMILAR QUESTIONS

Q1

If 0 < r < s ≤ n and nPr = nPs, then value of r + s is

Q2 , then value of is

Q3 is maximum where m is

Q4

An eight digit number divisible by 9 is to be formed by using 8 digits out of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 without replacement. The number of ways I which this can be done is

Q5

The number of rational numbers lying in the interval (2008, 2009) all whose digits after the decimal point are non-zero and are in deceasing order is

Q6

The number of positive integral solutions of the equation is

Q7

The exponent of 7 in 100C50 is

Q8

In the certain test there are n questions. In this test 2k students gave wrong answers to at least (n – k) questions, where k = 0, 1, 2, …, n. If the total number of wrong answer is 4095, then value of n is

Q9

If n > 1 and n divides (n – 1)! + 1, then

Q10

The number of words that can be formed by using the letters of the word MATHEMATICS that start as well as end with T is