# Question

Suppose that 10 fish are caught at a lake that contains 5 distinct types of fish.

(a) How many different outcomes are possible, where an outcome specifies the numbers of caught fish of each of the 5 types?

(b) How many outcomes are possible when 3 of the 10 fish caught are trout?

(c) How many when at least 2 of the 10 are trout?

(a) How many different outcomes are possible, where an outcome specifies the numbers of caught fish of each of the 5 types?

(b) How many outcomes are possible when 3 of the 10 fish caught are trout?

(c) How many when at least 2 of the 10 are trout?

## Answer to relevant Questions

A well-known nursery rhyme starts as follows: “As I was going to St. Ives I met a man with 7 wives. Each wife had 7 sacks. Each sack had 7 cats. Each cat had 7 kittens. . .” How many kittens did the traveler meet? Consider the following combinatorial identity: (a) Present a combinatorial argument for this identity by considering a set of n people and determining, in two ways, the number of possible selections of a committee of any ...In how many ways can n identical balls be distributed into r urns so that the ith urn contains at least mi balls, for each i = 1, . . ., r? Assume that Sixty percent of the students at a certain school wear neither a ring nor a necklace. Twenty percent wear a ring and 30 percent wear a necklace. If one of the students is chosen randomly, what is the probability that this ...A small community organization consists of 20 families, of which 4 have one child, 8 have two children, 5 have three children, 2 have four children, and 1 has five children. (a) If one of these families is chosen at random, ...Post your question

0