2. A shipment of 40 fancy calculators contains 5 defective units. In how many ways can a college bookstore buy 20 of these units and receive: a) no defective units b) one defective unit c) at least 17 good units d) What is the probability of the bookstore receiving 2 defective units? e) Find the probability of receiving at most 2 bad calculators. f) Find the probability of receiving at least 4 defective units.
a) In how many ways can a supermarket manager display 5 brands of biscuits in 3 spaces on a shelf, when the order is important & when order is not important? b) Find the number of ways in which 3 components can selected from batch of 20 different component, when order is not important. c) There are 15 balls numbers number 1 to 15 in a bag. If a person selects one at random, what is the probability that the...
a. In how many ways can 3 out of 11 engineers be assigned to the project roles of team leader, test engineer, and quality engineer? b. A carton of 18 rechargeable batteries contains three that are defective. In how many ways can an inspector choose 4 of the batteries and get exactly one defective battery?
1.How many possible orderings of letters ABCDEFG are there? 2.How many strings of length 4 can be made using the letters ABCDEFG? 3.How many subsets of size 4 are there of the letters ABCDEFG. 4.How many possible strings are there of the letters "MATTER"? 5.Consider four books: an engineering book (E), a physics book (P), a history book (H), and an Art book (A). Consider the following problem: Suppose that the library has at least six copies of each of...
o A package has 8 lightbulbs. How many ways can we select 5 if the order doesnt matter? cs = 8! (8-5)!57 - If ce are broken, what is the probability that s are broken
2. Suppose an electronics store receives 30 graphing calculators. a. How many different ways can the store select 4 calculators from among the 30 to send to a customer? b. If 6 of the calculators are defective, how many of the selections contain no defective calculators? c. Use the results of parts a and b to calculate the probability that the customer receives at least one defective calculator. d. How many of these selections contain 1 defective calculators? Combine this...
A 10-pack of batteries has two defective batteries. In how many ways can one select three of these batteries and get a. Neither of the defective batteries? b. One of the defective batteries? c. Both of the defective batteries?
discrete mathematics a. 25 identical glass orbs are to be partitioned into 5 groups. How many ways are there to do this? b. The orbs are to be partitioned such that each group gets at least one orb. How many ways are there to this? 6 of the orbs are given to the 1 group. How many ways are there to partition the remaining orbs such that the first group has at least the 6 from the beginning of this...
4. How many ways can you choose three toppings from 10 different toppings available at a Pizza delivery store? Also if you are ranking the three toppings chosen out of 10 toppings, how many different ways are possible? 5. If 40 % of all commuters ride to work in carpools, find the probability that exactly 4 will ride in carpools out of 10 workers? Also find the probability that nobody will ride in carpools out of 10 workers? 6. If...
The chess club has 8 members. In how many ways can they be divided into 4 groups of 2 to play a game?