Suppose it is known that a box of 24 light bulbs contains five defective bulbs. A customer randomly chooses two bulbs from the box without replacement. i. What is the total number of ways the customer can choose the bulbs? ii. What is the number of ways to choose no defective bulb?

Five separate awards are to be awarded to selected students from a class of 20. How many different outcomes are possible if a. a student can receive any number of awards? b. each student can receive at most 1 award?

1. In Namjoon’s drawer, there are 8 identical pairs of purple socks, 5 identical pairs of polka dots socks, and 3 identical pairs of black socks. He has a flight to catch at 2:00 AM to attend and perform at the Grammy Awards. While in a hurry, he grabbed two individual socks from his drawer randomly.  In how many ways will Namjoon get a pair of polka dots? 2. In Yoongi’s drawer, there are 4 identical pairs of brown socks and 6 identical pairs of green socks. He also has to catch the same flight at 2:00 AM the same as Namjoon. While in a hurry, he grabbed two individual socks from his drawer randomly.  In how many ways will Yoongi get matched socks? in both numbers, the order is neglible

A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the flags are arranged on the mast determines the signal being sent, how many 4-flag signals can be sent?

There are 10 candidates for a job. a. How many ways can we pick 2 of the candidates for the same job as salespersons? b. How many ways could we rank the top 3 candidates for VP of sales?

in how many ways can the 20 children in a third-grade class be paired up for a trip to the museum?

A drawer contains n white and n black socks. Each white sock has a unique design, and each black sock has a unique design. Two socks are selected at random from the drawer. Every way of selecting the two socks is equally likely and the order in which the socks are selected does not matter. a. How many ways are there to select the two socks? (Reduce your answer to the simplest algebraic expression.) b. How many ways of selecting the socks result in two socks of the same color being chosen? (Reduce your answer to the simplest algebraic expression.) c. What is the probability of selecting two socks of the same color? (Reduce your answer to the simplest algebraic expression.)

In how many ways can a person choose three movies to watch from a collection of 7 suggested movies?

A lottery will randomly choose a four digit number with the following procedure: 10 tiles each with the digit zero through nine is placed in a box. One tile will be drawn at random; this tile will be post to the side and will form the first digit of a number. A second tile will be drawn from the remaining tiles in the box; this one will be laid to the side and will be second digit. Continue until four digits have been chosen. how many four digit lottery numbers can one form this way?

How many different selections of three books can be made from a set of fifteen books?