Question

In: Statistics and Probability

How many different ways are there to distribute 7 similar flowers to 3 different people. Explain...

How many different ways are there to distribute 7 similar flowers to 3 different people. Explain your answer.

Solutions

Expert Solution

Total number of different ways to distribute 7 similar flowers to 3 different people is explained as follows:

First flower is distributed to any one of the 3 people that is to either 1st person or 2nd person or 3rd peerson in 3 total ways.

Similarly,

the second flower is distributed to any one of the above3 people that is to either 1st person or 2nd person or 3rd peerson in 3 total ways.

the third flower is distributed to any one of the above3 people that is to either 1st person or 2nd person or 3rd peerson in 3 total ways.

.................................................................................

..................................................................................

the seventh third flower is distributed to any one of the above3 people that is to either 1st person or 2nd person or 3rd peerson in 3 total ways.

Then the totoal number of ways is 3x3x3x3x3x3x3=37=2187 ways.

Hence, the total number of different ways to distribute 7 similar flowers to 3 different people is 37=2187 ways.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

How many different ways are there to distribute 7 similar flowers to 3 different people. Explain...
How many different ways are there to distribute 7 similar flowers to 3 different people. Explain your answer.
In how many ways can you distribute 10 different balls into 4 different boxes, so there's...
In how many ways can you distribute 10 different balls into 4 different boxes, so there's no box with exactly 3 balls? Use inclusion-exclusion
7. How many different ways can the letters in “COUNT” be arranged? 8. How many different...
7. How many different ways can the letters in “COUNT” be arranged? 8. How many different ways can the letters in “PROBABILITY” be arranged? 9. A pizza restaurant offers 15 different toppings, but only allows customers to select up to four different toppings for each pizza. How many different ways are there for customers to choose up to four toppings for a pizza? 10. A youth soccer team consists of 12 players. When they have games, they play simultaneously on...
How many ways can you distribute 1 piece of chocolate, 2 licorice sticks, and 7 pixie...
How many ways can you distribute 1 piece of chocolate, 2 licorice sticks, and 7 pixie sticks to 5 children so that each child has exactly 2 pieces of candy?
How many ways are there to distribute 15 cookies between 5 children such that: a. zero...
How many ways are there to distribute 15 cookies between 5 children such that: a. zero or more cookies? b. at least 1 cookie?
10 people are sitting in a circle. How many different ways can they be seated relative...
10 people are sitting in a circle. How many different ways can they be seated relative to each other if Steve and Alice must be seated directly across from each other? Do I need to apply the circular permutation formula of (n-1)!, and do I need to multiply the end result by 2 to account for the fact that they could be in different positions kinda like standing beside each other where one is on the left but could also...
In how many ways can 7 people { A, B, C, D, E, F, G }...
In how many ways can 7 people { A, B, C, D, E, F, G } be seated at a round table if (a) A and B must not sit next to each other; (b) C, D, and E must sit together (i.e., no other person can sit between any of these three)? (c) A and B must sit together, but neither can be seated next to C or D. Consider each of these separately. For (c) you may NOT...
Six numbered tokens are distributed to 8 different people. a) How many ways can the tokens...
Six numbered tokens are distributed to 8 different people. a) How many ways can the tokens be distributed? How many ways can the tokens be distributed if each token must be given to a different person? b) How many ways can the tokens be distributed such that person A receives at least 2 tokens? c) How many ways can the tokens be distributed such that 3 are given to one person, and 2 to another person? d) How many ways...
(Circular Permutations) In how many ways can 7 people { A, B, C, D, E, F,...
(Circular Permutations) In how many ways can 7 people { A, B, C, D, E, F, G } be seated at a round table if (a) A and B must not sit next to each other; (b) C, D, and E must sit together (i.e., no other person can sit between any of these three)? (c) A and B must sit together, but neither can be seated next to C or D. Consider each of these separately. Hint: Conceptually, think...
in how many ways can you distribute 13 identical pieces of candy to 5 children, if...
in how many ways can you distribute 13 identical pieces of candy to 5 children, if two of the children are twins and must get an equal number of pieces and every child must receive at least one piece?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT