Combinations

There are 153 NRICH Mathematical resources connected to Combinations
Fruity Pairs
problem
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Fruity pairs

Age
5 to 7
Challenge level
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Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

Robot Monsters
problem
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Robot monsters

Age
5 to 7
Challenge level
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Use these head, body and leg pieces to make Robot Monsters which are different heights.
Button-Up Some More
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Button-up some more

Age
7 to 11
Challenge level
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How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

Noah
problem
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Noah

Age
5 to 7
Challenge level
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Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Five Coins
problem
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Five coins

Age
5 to 11
Challenge level
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Ben has five coins in his pocket. How much money might he have?
The Puzzling Sweet Shop
problem
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The puzzling sweet shop

Age
5 to 11
Challenge level
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There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
Finding Fifteen
problem
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Finding fifteen

Age
7 to 11
Challenge level
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Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?
Two Dice
problem
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Two dice

Age
5 to 7
Challenge level
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Find all the numbers that can be made by adding the dots on two dice.
1 Step 2 Step
problem
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1 step 2 step

Age
11 to 14
Challenge level
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Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
Teams
problem
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Teams

Age
16 to 18
Challenge level
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Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.