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SEAMO 2027 - Paper C - SET 05 - Self-study Question 23

SEAMO · SEAMO 2027 - Paper C - SET 05 - Self-study

Question 23

There are 10 matchsticks on a table. Tevbot takes 1, 2 or 3 matchsticks each time. How many ways are there for him to take all the matchsticks?

Count ordered sequences of amounts taken. Changing their order gives a different way; the individual identities of the matchsticks are not counted.
  1. 274
  2. 275
  3. 276
  4. 280
  5. 295