Tran has four different hats. He always wears a hat on weekdays for the whole day. Sometimes he wears the same hat more than once in a week.

In how many different ways might he decide to wear his hats in one week?

Tran Tran Tran Tran Tran

Tran's Hats






Topics: Starter | Combinations | Data Handling | Probability | Problem Solving

  • Miss J Key, Farlingaye High School, Suffolk
  • Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!
  • Class 5G, Lakeside Community Primary School
  • We all had a go at the combinations but didn't get as far as 1024! We enjoy these starters - keep them coming =).
  • Roslina Ahmad, Malaysia
  • This is great! I can use this in my math class.
  • 8MS, Hirst Park Middle School, Ashington
  • Our year 8 class needed a bit of structure to get the solution, we worked out for 4 hats on 1 day, 2 days, 3 days, then managed to find a rule and get the answer.
  • Mrs. Nhandara, Stockholm International School
  • This Exercise was great for my 9th grade class!

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The answer is 45

= 4 x 4 x 4 x 4 x 4

= 1024

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