Home
Class 12
MATHS
Four boys picked 30 apples. The number o...

Four boys picked 30 apples. The number of ways in which they can divide then if all the apples are identical is

Text Solution

Verified by Experts

Clearly, 30 mangoes can be distributed among 4 boys such that each boy can receive any number of mangoes.
Hence, total number of ways=`.^(30+4-1)C_(4-1)`
`=.^(33)C_(3)=(33*32*31)/(1*2*3)=5456`
Promotional Banner

Similar Questions

Explore conceptually related problems

Four die are rolled. The number of ways in which atleast one die shows 3, is

The total number of ways in which 2n persons can be divided into n couples is

Six identical coins are arranged in a row. The total number of ways in which the number of heads is equal to the number of tails is

Number of ways in which 12 different things can be distributed in 3 groups, is

Number of ways in which three numbers in AP can be selected from 1,2,3, . .,n is

In an examination, there are three multiple choice questions and each question has four choices. Number of ways in which a student can fail to get all answers correct, is

Number of ways in which 15 identical coins can be put into 6 different bags

Find the number of ways in which 5 girls and 5 boys can be arranged a n row if boys and girls are alternative.

Eighteen guests are to be seated, half on each side of a long table. Four particular guests desire to sit on one p[articular side and three others on other side of the table. The number of ways in which the seating arrangements can be made is (11!)/(5!6!)xx 9!xx 9!.

Find the numbers of ways in which 5 girls and 5 boys can be arranged in a row if no two boys are together.