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Maths-

General

Easy

Question

The probability that the birthdays of 12 girls will fall on 12 different calendar month of a year is

$\frac{1}{2^{11}}$
$\frac{1 2_{C_{12}}}{1 2^{12}}$
$\frac{1 2_{P_{12}}}{1 2^{12}}$
$\frac{1}{1 2^{5}}$

The correct answer is: $fraction numerator 1 2 subscript P subscript 12 end subscript end subscript over denominator 1 2 to the power of 12 end exponent end fraction$

$n left parenthesis S right parenthesis equals 1 2 to the power of 12 end exponent comma n left parenthesis E right parenthesis equals 1 2 subscript P subscript 12 end subscript end subscript$
$P left parenthesis E right parenthesis equals fraction numerator n left parenthesis E right parenthesis over denominator n left parenthesis S right parenthesis end fraction$
$P left parenthesis E right parenthesis equals fraction numerator 12 subscript P subscript 12 end subscript end subscript over denominator 12 to the power of 30 end exponent end fraction$

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