According to a recent survey of students at a public university, 65% are skilled in Mathematics and 45% are skilled in Statistics. How many students are proficient in both Mathematics and Statistics?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
ক (10%)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Good at Mathematics n(M) = 65
Good at Statistics n(S) = 45
good in both Mathematics and Statistics n(M ∩ S)
We know that
n(M ∪ S) = n(M) + n(S) - n(M ∩ S)
⇒ n(M ∩ S) = n(M) + n(S) - n(M ∪ S)
= 65 + 45 - 100 = 110 - 100 = 10
