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JEE Main 202226 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
26 June
Shift
Morning Shift
Subject
Mathematics
Chapter
Permutation and Combination

JEE Main 2022 · 26 June · Morning Shift · Mathematics · Permutation and Combination

There are ten boys B _ 1 , B _ 2 , . , B _ 10 and five girls G _ 1...

There are ten boys B1,B2,….,B10{B}_{1}, {B}_{2}, \ldots . , {B}_{10} and five girls G1,G2,….G5{G}_{1}, {G}_{2}, \ldots . {G}_{5} in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both B1{B}_{1} and B2{B}_{2} together should not be the members of a group, is _____.

Correct answer

0

Step-by-step solution

Given, total number of boys is 1010 and total number of girls is 55

So total number of selections =C310⋅C35=1200= C3 10 \cdot C3 5 = 1200

No. of selections in which B1 and B2{B}_{1} \text{ and } {B}_{2} both are there in group =C18⋅C35=80= C1 8 \cdot C3 5 = 80

Required no. of selections =1200−80=1120= 1200 - 80 = 1120

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