How many combinations of 4 coins are there?

16 possible outcomes
Each coin has two possible outcomes – heads or tails. Therefore, the total number of possible outcomes is: 2×2×2×2=16 possible outcomes.

How many different sums of money can be made from a penny a nickel a dime and a quarter?

Assuming that at least one coin is used, how many different sums of money can be made from the following coins: a penny, a nickel, a dime, a quarter , and a dollar? I’ve found a way to solve these kind of problems 2^n-1, where n=amount of different coins. So the answer is 31.

How many different sums of money can you make with?

There are 29 different sums of money that can be formed using some combination of the seven coins.

How many ways are there to select three coins from a box containing a penny a nickel a dime a quarter a half dollar and a silver dollar?

The number of selected coins = 3. We know that, Therefore, there are 120 number of ways of selection is there.

How many heads toss 4 coins?

one head
In counting the number of heads in 4 coin flips, the probability that we get exactly one head is the probability that we get anyone of the following 4 outcomes: HTTT, THTT, TTHT, or TTTH. Each has probability 1/16, so the probability to get exactly one head in 4 flips is 1/16 + 1/16 + 1/16 + 1/16 = 4/16 = 1/4.

How many different combinations of coins are there?

The number of combinations of four coins is C(4,4) = 1. Therefore, the total number of possible combinations is 4 + 6 + 4 + 1 = 15.

How many 3 coin combinations exist if we can choose from pennies nickels dimes and quarters?

The correct answer is C( 24 choose 20)= 10626 different combinations. Think about the difference of distinct and indistinct objects???? 520 only works when order in which the coins are chosen matters.

How many distinct sums you can make from non empty groupings of these coins?

9 distinct sums
As you can see, there are 9 distinct sums that can be created from non-empty groupings of your coins.

How many ways are there to pick a collection of 10 coins from piles of pennies nickels dimes and quarters?

The answer is not (84). Instead, it is found by stars and bars: in a line of 8 coins, you can put three separators among those coins to partition them into four groups, which can be identified with pennies, nickels, dimes and quarters.

What are the possible outcomes of tossing 4 coins?

In counting the number of heads in 4 coin flips, the probability that we get exactly one head is the probability that we get anyone of the following 4 outcomes: HTTT, THTT, TTHT, or TTTH.

How many possible outcomes when a coin is tossed 4 times?

when we toss a coin 4 times we get 2^4=16 possible outcomes.

How many combinations of coins are possible in Janice’s collection?

There are 41 possible combinations of coins.

How many sum of money can be made with 5 coins?

With 5 coins, the number of combinations of choices he can make — and therefore the number of different sums of money he can make — is 2*2*2*2*2 = 2^5 = 32. One of those possibilities is 0 (if he chooses not to include every coin in his selection). Since you say the answer to the question is 31, apparently a sum of 0 is not allowed.

How many coins are there in total?

Since we have only one from each of them, we have 4 coins in total. Now notice that whichever zero,one, two, three or four of them we choose, the sum will be unique (Because there is no pair of coins such that when you sum them, the result is the value of another coin).

How do you find the sum of 15 distinct sums?

Let the coin denominations be a 1, a 2, a 3, a 4. We may assume 1 ≤ a 1 < a 2 < a 3 < a 4, and that each a i is an integer. The set of sums we seek are from the collection of non-empty subsets of a 4 -set; there are 2 4 – 1 = 15 such sets. Therefore, there are at most 15 distinct sums. To get 15 distinct sums, choose the numbers 1, 2, 4, 8.

How many pennies are in a nickel?

First of all, a nickel = 5 pennies, a dime = 10 pennies and a quarter = 25 pennies. Since we have only one from each of them, we have 4 coins in total.