Permutation and CombinationHard
Question
The number of ways, in which 16 oranges can be distributed to four children such that each child gets at least one orange, is
Options
A.429
B.384
C.403
D.455
Solution
Let oranges are identical then
$$x_{1} + x_{2} + x_{3} + x_{4} = 16 $$and $x_{1},x_{2},x_{3},x_{4} \geq 1$
or $x_{1}' + x_{2}' + x_{3}' + x_{4}' = 12$
so total number of solutions are
$$= \ ^{12 + 3}C_{3} = \ ^{15}C_{3} = 455$$
Create a free account to view solution
View Solution FreeMore Permutation and Combination Questions
There are m apples and n oranges to be placed in a line such that the two extreme fruits being both oranges. Let P denot...If chocolates of a particular brand are all identical then the number of ways in which we can choose 6 chocolates out of...There are 13 players of cricket out of which 4 are bowlers. In how many ways a team of eleven be selected from them so a...If all the letters of the word ″QUEUE″ are arranged in all possible manner as they are in a dictionary, then...Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of hea...