You have a jar containing pennies, nickels, dimes, and quarters. In how many ways can you...

You have a jar containing pennies, nickels, dimes, and quarters. In how many ways can you select exactly 10 coins if the order in which you select them does not matter and

1. You have at least 10 of each type of coin available and there are no restrictions

2. You have at least 10 of each type of coin available and you need to select at least two dimes and two nickels

3. You have at least 10 pennies, 10 nickels, and 10 dimes available, but only 6 quarters

Expert Solution

Colby Messinger answered 2 years ago

A large pile of coins consists of pennies, nickels, dimes, and quarters. (a) How many different...

A large pile of coins consists of pennies, nickels, dimes, and quarters. (a) How many different collections of 40 coins can be chosen if there are at least 40 of each kind of coin? (b) If the pile contains only 20 quarters but at least 40 of each other kind of coin, how many collections of 40 coins can be chosen? (c) If the pile contains only 30 dimes but at least 40 of each other kind of coin, how...

A jar contains 5 pennies, 4 nickels and 2 dimes. A child selects 2 coins at...

A jar contains 5 pennies, 4 nickels and 2 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. Find the probability X = 10. Find the probability X = 11. Find the expected value of X.

A jar contains 2 pennies, 6 nickels and 4 dimes. A child selects 2 coins at...

A jar contains 2 pennies, 6 nickels and 4 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. a. Find the probability X = 11. b. Find the expected value of X

A jar contains 3 pennies, 7 nickels and 2 dimes. A child selects 2 coins at...

A jar contains 3 pennies, 7 nickels and 2 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. Find the probability X = 10. Find the probability X = 11. Find the expected value of X.

A jar contains 3 pennies, 3 nickels and 5 dimes. A child selects 2 coins at...

A jar contains 3 pennies, 3 nickels and 5 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. Find the probability X = 10. Find the probability X = 11. Find the expected value of X.

A jar contains 5 pennies, 3 nickels and 8 dimes. A child selects 2 coins at...

A jar contains 5 pennies, 3 nickels and 8 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. Find the probability X = 10. Find the probability X = 11. Find the expected value of X.

A jar contains 4 pennies, 6 nickels and 2 dimes. A child selects 2 coins at...

A jar contains 4 pennies, 6 nickels and 2 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. Find the probability X = 10. Find the probability X = 11. Find the expected value of X.

The big jar of nickels and dimes contained $45. If 700 coins were in the jar, how many of each kind were there?

If you are randomly sampling without replacement from a jar containing 20 quarters, 16 dimes and...

If you are randomly sampling without replacement from a jar containing 20 quarters, 16 dimes and 26 nickles what is the probability of obtaining: a. exactly one dime in three draws? b. exactly two nickles in three draws? c. three nickels in three draws? d. at least two quarters in three draws? e. no quarters in three draws?

Abox containing pennies, nickels, and dimes has 13 coins with a total value of 83 cents....

Abox containing pennies, nickels, and dimes has 13 coins with a total value of 83 cents. How many coins of each type are in the box? Is the economy productive? Using (gauss elminations)

Question