Question

in a class there are 27 boys and 14 girls the teacher wants to select one boy and one girl to represent the class for a function in how many ways can the teacher make the selection

Answer 1

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In a class, there are 27 boys and 14 girls.The teacher wants to select 1 boy and 1 girl to represent the class for a function.

To find  :In how many ways can the teacher make this selection

 

The no. of ways the teacher can select 1 boy from 27 boys is 27 C1 and 1 girl from 14 girls is 14C1

Therefore the total required ways is = 27C1 * 14C1

Answer 2

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Total boys in class=27    
                  
No. of boy(s) to be selected=1

Total girls in class=14

No. of girl(s) to be selected=1

=>Total no. of  ways= 27P1 * 14P1
                                     =  27! / 26!  *  14! / 13!
                                     = 27  *  14
                                    = 378

=> There are a total of 378 ways to select 1 boy and 1 girl from a class of 27 boys and 14 girls!
                                       
   $<b>$ $<marquee>$ ⭐✌️✌️Hope u Help