Read the following information carefully and answer the given questions.
In a College P there are 19,000 students. They know different languages like Japanese. Korean and Latin. Ratio of males and females is 9 : 11. 14% of males know only Japanese. 12% know only Korean. 20% know only Latin. 16% know only Korean and Japanese. 22% know only Korean and Latin. 8% know only Japanese and Latin. Remaining boys know all the languages. 22% females know only Japanese. 18% know only Korean. 20% know only Latin. 12% know only Japanese and Korean. 16% know only Korean and Latin. 10% know only Japanese and Latin. Remaining females know all the languages.
How many students in the college know all three languages?
Total students in college P = 19000
Total males = $$\frac{9}{20} \times 19000 = 8550$$
=> Females = $$19000 - 8550 = 10450$$
Males who know all the three languages = $$100 - (14+16+12+8+22+20) = 8 \%$$
Similarly, females who knows who all three languages = $$2 \%$$
Numbers given in the venn diagram are percentages.
Males who know all languages = $$\frac{8}{100} \times 8550 = 684$$
Females who know all languages = $$\frac{2}{100} \times 10450 = 209$$
=> Students in the college know all three languages = 684 + 209 = 893
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