Question

A cosmetic outlet has 17 male and 15 female employees.
In how many ways can a male and a female employee be chosen to represent the department?
255
275
50
60
​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Concept : To choose $r$ objects from $n$objects, the formula is $\frac{n !}{r !(n-r) !}$

Step-by-step explanation:

Given: A group G closed under multiplication.

To find : Number of ways to select a male and a female employee.

Solution :

To choose a male employee from 17 male employees $=17 \mathrm{C}_{1}$

To choose a female employee from 15 male employees $=15 \mathrm{C}_{1}$

To choose a male and a female employee

$=17 \mathrm{C}_{1} \times 15 \mathrm{C}_{1}$

$\begin{aligned}&=17 \times 15 \\&=255\end{aligned}$

$\text { (since, } \mathrm{nC}_{1}=\mathrm{n} \text { ) }$

Hence, to choose a male and a female employee, there are $255$ways.

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