In a class of 30 students 18 play football, 14 play cricket and 5 do not play any game. How many students play both the games?

In a class of 30 students 18 play football, 14 play cricket and 5 do not play any game. How many students play both the games? ?

Created: 1 year ago | Updated: 2 months ago | Created By:

Asif al sami

0 29

Institution: AGRANI BANK LTD Exam: Agrani bank Ltd - Senior Officer - 12.02.2010
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the problem, we start by defining the variables:

- Let \( F \) be the number of students who play football = 18
- Let \( C \) be the number of students who play cricket = 14
- Let \( N \) be the total number of students = 30
- Let \( N_{N} \) be the number of students who do not play any game = 5
- Let \( X \) be the number of students who play both games.

We can calculate the number of students who play at least one game:
\[ N_{A} = N - N_{N} = 30 - 5 = 25 \]

Using the principle of inclusion-exclusion, the formula for students playing at least one game is:
\[ N_{A} = F + C - X \]
Substituting in the known values:
\[ 25 = 18 + 14 - X \]

Now, simplifying the equation gives:
\[ 25 = 32 - X \]
\[ X = 32 - 25 \]
\[ X = 7 \]

Therefore, 7 students play both football and cricket. This confirms that option B, which states that 7 students participate in both games, is indeed the correct answer.

No comments yet.

In a class of 30 students 18 play football, 14 play cricket and 5 do not play any game. How many students play both the games? ?

জগৎ-বিখ্যাত ভাস্কর রোদ্যা কোন দেশের অধিবাসী ছিলেন?

প্রমখ চৌধুরী রচিত সাহিত্যে খেলা অনুসারে কবির পক্ষে মনোযোগী হওয়া আবশ্যক-

Sidebar

Advertishment

Need Custom Questions or Projects?

Social Links

Quick Links

Stay Connected