Bissoy.com
Doctors Medicines MCQs Q&A

In how many different ways can 6 different balls be distributed to 4 different boxes, when each box can hold any number of ball?

In how many different ways can 6 different balls be distributed to 4 different boxes, when each box can hold any number of ball? Correct Answer 4096

Every ball can be distributed in 4 ways. 

Hence the required number of ways = 4 x 4 x 4 x 4 x 4 x 4 = 4096

Related Questions

Directions: Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box. Question: Which combination represents the position of C and its colour?
Five boxes B1, B2, B3, B4 and B5 are placed one above the other in racks. The lowermost rack is numbered as one and just above the lowermost is numbered as two and so on. Each box is coloured with different colour such as L1, L2, L3, L4 and L5 (not necessarily in the same order). Two boxes are placed between L2 coloured box and L5 coloured box. Box B1 is not placed immediately above box B3. Box B4 is placed in the top most rack. L1 coloured box is placed immediate above L5 coloured box. Box B3 is coloured with L4. L5 coloured box is placed above L4 coloured box. Box B2 is coloured with L1. Which of the following boxes are placed immediately above and immediately below B5 box respectively?
Ravi needs to place six balls in three boxes. Each box can hold all the six balls. Find the number of ways in which the balls can be placed in the boxes if no box can be empty and all balls and boxes are different?
A box contains balls of two colours, black and white. A total of 28 balls were taken out from the box constituting of 1/5 of the black balls and 1/10 of the white balls. When 3/4 of the remaining black balls and 2/3 of the remaining white balls were also taken out, only 50 balls were left in the box. How many total balls were initially there in the box?
Ashutosh has a box containing 8 identical red balls, 9 identical blue balls and 10 identical green balls. He is required to distribute all these balls into three bags A, B and C such that the total number of balls in bag A is more than that in bag B, which, in turn, is more than that in bag C. Moreover, he needs to ensure that the number or red balls in bag A is more than that in bag B which in turn is more than that in bag C, and similarly for the blue and green balls. In how many ways can he do this? Each bag must contain at least one ball of each type.
Six boxes, M, N, O, P, Q and R, are kept one above the other but not necessarily in the same order. There is only one box between box N and box R. Box Q is immediately below box N. There are only two boxes between box Q and box M. There is no box above box P. Box R is third from the bottom. Which box is third from the top?
There are a total of 12 balls of three colours Red, Blue and Green in a box. The number of balls of all the three colours is different. The difference of Red and Blue colour balls is equal to the number of Green colour balls. If a ball is drawn randomly from the box then the probability of getting a Green ball is always greater than 0.25. what can be the possible number of Green colour balls in the box? A. 2 B. 3 C. 4 D. 5 E. 6 
The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the probability that both the balls are of blue color. Statement I: In a bag containing 4 red balls, 6 blue balls and 8 yellow balls, two balls are drawn at random one by one without replacement. Statement II: First ball is blue and if this happens then 5 more blue balls are added in the bag Statement III: Total blue balls are twice more than the other balls at the end of the drawing of balls
There are 15 balls of three colors Red, Blue and Green in a box. The number of balls of all three colors is different. The difference of Red and Blue color balls is equal to the difference of Blue and Green color balls. If a ball is drawn at random from the box then the probability of getting a Green ball is always more than 0.2. What can be the possible number of Green balls in the box? A. 4 B. 7 C. 5 D. 8 E. 3
There is a pile of six boxes. The weight of the topmost box i.e., 6th box is one fifth of the second box, the weight of the fourth box is \(33\frac{1}{3}\)% more than the weight of the first box, whose weight is thrice that of fifth box’s weight. Also, weight of second box is 2.5 times the fifth box. The third box whose weight is 720 gm is 60% heavier than the fifth box. What is the average weight of the three lightest boxes?