Question

A class contains 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is    

Solution

Correct option is

5

Number of groups having 4 boys and 1 girl   

             

and number of group having 3 boys and 2 girls

          

Thus, the number of dolls distributed

            

We are given  

          

SIMILAR QUESTIONS

Q1

A is a set containing n elements. A subset P of A is chosen. The set A is reconstructed by replacing the elements of P. A subset Q of A is again chosen. The number of ways of choosing P and Q so that P  Q = Ï• is

Q2

Let E = {1, 2, 3, 4} and F = {ab}. then the number of onto functions from E to F is

Q3

The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is

Q4

The range of function 

Q5

The number of ways of arranging letters of the word RACHIT so that the vowels are in alphabetical order is

Q6

A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is

Q7

The number of ways in which a mixed double game can be arranged from amongst 9 married couple if no husband and wife play in the same game is 

Q8

The number of times the digit 3 will be written when listing the integers from 1 to 1000 is

Q9

The number of positive integers n such that 2n divides n! is

Q10

The sum of the factors of 9! Which are odd and are of the form 3m + 2, where m is a natural number is