# Party time

**Discrete Mathematics**Level pending

4 members of a family decide to go to a party. The location is at a certain distance from there house. It starts raining when they depart.

They have only one umbrella with them that can accommodate 2 of the family members at a time. So they decide to go there in of sets of 2 with one of them returning to take others to the place.

The 4 members A, B, C andÂ D take 1, 2 , 5, and 10 minutes respectively to reach there.

Calculate the minimum time taken by all the family members to reach there.

Note: They can follow any sequence while going to the party.

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