A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750, then n is equal to :

Question:

A group of students comprises of 5 boys and $n$ girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750 , then $n$ is equal to:

  1. 28

  2. 27

  3. 25

  4. 24

Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Permutations And Combinations chapter.
JEE Main Previous Year April 12, 2019 (II)

Solution:

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