Question: How Many Different Combinations Are There?

How many combinations of 3 numbers can 5 numbers make?

10 possible combinationsSo 5 choose 3 = 10 possible combinations.

However, there’s a shortcut to finding 5 choose 3.

The combinations formula is: nCr = n.

/ (n – r)!.

How many combinations are there in 50 numbers?

so there are 39,062,500,000,000 different combinations of lottery numbers.

How many ways can you make 15p?

Different notes and coins can make the same totalMoney comes in lots of different notes and coins.Notes come in £5, £10, £20 and £50. … Coins come in 1p,2p, 5p, 10p, 20p, 50p, £1 and £2.There is only 1 way to make 1p.There are 2 ways to make 2p.There are 4 ways to make 5p.There are 11 ways to make 10p.More items…

How many combinations of 3 numbers can 6 numbers make?

There are, you see, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times. So we just divide by 6. 720 / 6 = 120.

How many combinations of 6 items are there?

720 possible combinationsSo for 6 items the equation is as follows 6*5*4*3*2= 720 possible combinations of 6 items. If you can choose to use less of the items in a sequence that changes things.

How many 5 letter combinations are there?

65,780Answer and Explanation: The number of combinations possible with 5 letters is 65,780.

What makes a dollar in change?

Using only pennies, nickels, dimes, and quarters, there are many different ways to make a dollar. … Answer: 100 pennies, 20 nickels, 10 dimes, or 4 quarters; each = 1 dollar. Can you make a dollar using only 7 coins? Answer: 2 quarters + 5 dimes = 1 dollar.

How many ways can a 7 letter word be arranged?

If we take out A and B from the 26 letters, we are left with 24 letters. The number of ways that 7 letters can be selected out of 24 = 24C7. The number of ways each of the 7 letters selected can be arranged = 7! In how many ways can we arrange the remaining 17 letters?

How many combinations of 4 items are there?

If you meant to say “permutations”, then you are probably asking the question “how many different ways can I arrange the order of four numbers?” The answer to this question (which you got right) is 24.

How do you find all possible combinations?

How to calculate combinations? – combination formulaC(n,r) is the number of combinations;n is the total number of elements in the set; and.r is the number of elements you choose from this set.

How many ways can you make 1?

Therefore, there are 50 different ways to pay for something costing $1 in Australia. Answer: In the U.S.A. there are 293 different ways to make $1. Interestingly, there are over 9 trillion different ways to pay for something in the U.S.A. costing $100.

How many different numbers can you make with 3 digits?

These choices can be made in 10⋅10⋅10=103 different ways, so that’s the number of 3-digit combinations. As an independent check, notice that the 3-digit combinations are just the integers from 0 through 999, padded on the left with zeros to bring them up to 3 digits.

How many unique combinations are there?

The number of combinations of n distinct objects, taken r at a time is: Cr = n! / r! (n – r)! Thus, 27,405 different groupings of 4 players are possible.

How many combinations can you make with 7 items?

7*6*5=210. So you get 7∗6∗53∗2∗1 7 ∗ 6 ∗ 5 3 ∗ 2 ∗ 1 = 35 ways.

How many combinations of 12 numbers are there?

479001600 combinationsIf repetition of digits is not allowed then the number of combinations possible is 12P12. That is 12! Combinations. So 479001600 combinations are possible if repetition is not allowed.

How many ways can you make 10p?

(i) We can make up 10p as follows: 10 (one way using only one 10p coin); 5+5 (one way using two 5p coins and no 10p coins); 5+2+2+1, 5+2+1+1+1, 5+1+1+1+1+1 (three ways using one 5p coin and no 10p coins);