Which of the following is not a combination?

The number of ways a President and Vice President can be chosen from a group of 10 people.
The number of 2 person subcommittees that can be chosen from a 10 person committee.
The number of 2 person teams that can be picked form 10 people.

Respuesta :

The answer is the number of ways a President and Vice President can be chosen from a group of 10 people.

When you're picking people for specific roles, the order in which people are picked matters. That is a permutations situation, not combinations.

For the others, they're situations that can be modeled with combinations since order does not matter. All that matters when you make a subcommittee or a duo-team is who's in it.

When there is the no of ways where the president and the vice president should be selected from the grouping of 10 people does not represent the combination.

The following information should be considered:

  • In the case when the people are picked out for particular role so here the order should be matter. It should be the situation of permutation, not the combination situation.
  • Based on this, the last 2 options are considered to be the combination

Therefore we can conclude that when there is the no of ways where the president and the vice president should be selected from the grouping of 10 people does not represent the combination.

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