Question

In a Zoo, there are 6 Bengal white tigers and 7 Bengal royal tigers. Out of these tigers, 5 are males and 10 are either Bengal royal tigers or males. Find the number of female Bengal white tigers in the Zoo.

Answer 1

5679o female tigers think so ...

Answer 2

Find the number of female Bengal white tigers in the zoo for given data

Explanation:

• let the set of Bengal white tigers be denoted by 'W' $n(W)=6$, set of Bengal royal tiger be denoted by 'R'  $n(R)=7$                    
• set of male white tigers , male royal tigers and total males be  $M_w, \ M_r\ and\ M$ respectively then we have,                                                        [tex]n(M)=5\\ n(M\cup R)=10 \\ ->n(M\cup R)=n(M)+n(R)-n(M\cap R)\\ ->n(M\cap R)=5+7-10=2[/tex]                              
• hence, the male royal tigers are $n(M_r)=n(M\cap R)=2$  
• hence, we have                                                                                              [tex]n(M)=n(M_r)+n(M_w)\\ n(M_w)=5-2=3[/tex]  
• hence the number of female Bengal white tigers are                                                                           [tex]n(F_w)=n(W)-n(M_w)\\ n(F_w)=6-3\\ n(F_w)=3[/tex]         ---------ANSWER