Given:
Total number of children enrolled = 47
Number of children to be selected = 6
Number of ways to select 6 children for the picture are:
[tex]=^{47}C_6[/tex]
Formula for combination is given as:
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Applying this, we get:
[tex]\begin{gathered} ^{47}C_6=\frac{47!}{6!(47-6)!} \\ =\frac{47!}{6!41!} \\ =10737573 \end{gathered}[/tex]
Therefore, the required number of ways are 10737573.
