A bucket contains 12 marbles, there are 7 red marbles numbered 1 through 7 and 5 blue marbles numbered 8 through 12.    If 6 marbles are pulled from the bucket, determine the number of different 6-sets of marbles that have 3-red and 3-blue marbles.         Determine the number of different 3-set or 4-sets of marbles that can be created from this bucket of marbles.

A computer operator must select 3 jobs from 11 available jobs waiting to be completed.How many different combinations of 3 jobs are possible?

Cathy makes a single deposit into an account earning 2.5% compounded monthly. After five years the account contains $3057.46.how much did she deposit?

From 5 men and 4 women, how many committees can be selected consisting of: - 3 men and 2 women? - 5 people of which at least 3 are men?

An Ice Cream shop has 36 flavors of ice cream, 6 different toppings, and can be served in 3 different types of cones. How many different 1 scoop one topping ice cream cones can the shop claim to offer its customers?

A limited access highway had an exit reduction and lost the reduction, how many exits were there originally? The original number of exits was of its exits. If 220 of its exits were left after 11

How many committees can be formed from 12 men and 12 women if the committee must consist of 3 men and 4 women?

There are 2 songs in a playlist. How many ways are there to order and play them one by one? Each song will only be played once and only once?

There were 1349 million fewer barrels of crude oil produced in country A in 2009 then there were in country B. Find the number of barrels of crude oil (in millions) produced in country B in 2009.  If there were 289 million barrels produced in country A that year.

The Maple Leafs are allowed to dress 20 players for each game.  If they dress 12 forwards, 6 defensemen and 2 goalies, how many possible starting line-ups of 3 forwards, 2 defensemen and 1 goalie are possible?