The selection an be made in 18 different ways.
The correct answer is an option (A)
What is combination?
"It is a way of selecting items from a collection where the order of selection does not matter."
Formula of combination:
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
What is n!
n! = n × (n - 1) × . . . × 2 × 1
For given question,
From a group of three boys and six girls, a boy and a girl will be selected to attend a conference.
The number of ways of selecting a boy from a group of three boys.
Using combination formula,
[tex]^3C_1\\\\=\frac{3!}{1!(3-1)!}\\\\ =3[/tex]
The number of ways of selecting a girl from a group of six girls.
Using combination formula,
[tex]^6C_1\\\\=\frac{6!}{1!(6-1)!}\\\\ =6[/tex]
The number of possible ways of selecting a girl and a boy ,
[tex]^3C_1\times ^6C_1\\\\=3\times 6\\\\=18[/tex]
Therefore, the selection an be made in 18 different ways.
The correct answer is an option (A)
Learn more about the combination here:
https://brainly.com/question/13387529
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