Fruits and Baskets

Probability Level pending

There are 7 baskets of fruits in a line. Each basket is designated to a certain fruit, and that fruit is placed inside it basket. How many ways can the fruits be rearrange such that no fruit is in its designated basket?

Details and Assumptions

  • There is only one of each type of fruit.
  • Each basket must contain exactly one fruit.

If you solve this, find a formula.

If you find a formula, prove it!!!


The answer is 1854.

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1 solution

Bhagyesh Jain
Jun 13, 2015

Its a simple case of Derangements.use pigeon hole concepts.

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