If there are 28 number in a lotto game ranging from 1-28, every time it is drawn 6 numbers are selected ramdomly, but a number can’t be selected more than once, how many different combinations are...

A group of 10 people volunteer for for a clinical trial. How many ways can 4 of the volunteers be chosen to receive a placebo and the remaining 6 be chosen to receive an active drug? Of...

What is the total combination I will have if I have 13 kids and each kid has a choice to choose one of these 3 fruits a pears, grapes and orange( i have an umlimted supply of each fruit but each kid...

i have a jar which must always be filled to 100%. i have 4 different items which can be placed into the jar to fill it. each item can be added in increments of 25%, and may be placed in the jar more...

Suppose I have 100 objects. From these 100 objects, I will choose 10. Of the 10 I choose, only 2 can be copies of the other objects I have chosen. So 3 of 1 object or 2 of 2 objects. First, how many...

I used the following method and got the right answer: What I did was removed 4 of the 12 stations leaving 8 stations and 9 gaps,  then I selected 4 out of 9 gaps giving me 9C4 please explain...

c) Allowing for unlimited repeats, what is the probability if we selected a 7 letter arrangement at random that it would contain no repeated letters? d) How many 7 letter arrangements...

Not sure if this is possible.....I have 27 entries in bowls tournament and 3 play against each other at once so each round there is 9 games with 3 in each game. The tournament goes for 10 rounds and...

I have a liner programming problem with 3 decision variables. I need to write a constraint that I can put into Solver which is   Of the 3 decision variables, one of them most be zero...

A fan of country music plans to make a custom CD with 12 of her 30 favorite songs. How many different combinations of 12 songs are possible? Is it practical to make a different CD for each possible...

He was given a list of possible team and field combinations for Monty’s game without knowing the name of the team Monty plays for or the field that the team is playing on. The list Uncle Pete was...