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8 students have participated in face off dance competition wherein every student has to compete every other student in dance competition. Face offs are to be done between two contestants. Find number of matches in the competition. 

8 students have participated in face off dance competition wherein every student has to compete every other student in dance competition. Face offs are to be done between two contestants. Find number of matches in the competition.  Correct Answer 28

Given:

Students = 8

Formula used:

Number of matches by n players = N × (N + 1)/ 2

Calculation:

Here, N = 8

⇒ Number of matches in competition = 8 × 7/ 2

⇒ Number of matches = 28

∴ 28 matches will be held in the face off dance competition

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