Question bank/JEE Main/Mathematics

JEE MainMathematicsEasyPemutation and combination

There are 5 girls and 7 boys. A team of 3 boys and 2 girls is to
be formed such that no two specific boys are in the same team. Number of

way to do so

Show answer and solution
Without any restriction, total number of ways of forming team
is
 7C3× 5C2=350\ ^{7}C_{3} \times \ ^{5}C_{2} = 350 If two specific boys B_1,
B_2 are in same team then total number of ways of forming team equals

to
 5C1× 5C2=50\ ^{5}C_{1} \times \ ^{5}C_{2} = 50 ways total ways = 350 - 50 =
300 ways.

Source: Grass-G / M-11 Mathematics Paper-2 1Nov.docx

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