Question: Eleven chairs are numbered 1 through 11. Four girls and seven boys sit on these chairs at random. What is the probability that chair 5 is occupied by a boy?

1. 1/22
2. 1/11
3. 4/11
4. 5/11
5. 7/11

“Eleven chairs are numbered 1 through 11. Four girls and seven boys”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Explanation:
Approach Solution 1:
The total number of ways to seat them is 11!

So, simplifying, the probably a guy sits in seat 5 is

7∗10/11= 7∗(10∗9∗8∗...∗2∗1)/11∗(10∗9∗8∗...∗2∗1)= 7/11

Correct Answer: E

Suggested GMAT Problem Solving Questions

• A child paints the six faces of a cube with six different GMAT Problem Solving
• In an opera theater. there are 300 seats available GMAT Problem Solving
• At the Rate of m Meters Per s Seconds, How Many Meters Does a Cyclist GMAT Problem Solving
• NASA Received Three Messages in a Strange Language From a Distant Planet GMAT Problem Solving
• Two Cyclists Start From the Same Place to Ride in the Same Direction GMAT Problem Solving
• What Is The Units Digit Of The Product Of Any Five Consecutive Positive Integers GMAT Problem Solving
• If AC = BC and CD = DE Then, in Terms of x, the Value of y is GMAT Problem Solving
• A Large Cube Consists Of 125 Identical Small Cubes GMAT Problem Solving
• A Pizzeria Makes Pizzas That Are Shaped As Perfect Circles GMAT Problem Solving
• The Number Of Diagonals Of A Polygon Of n Sides Is Given By The Formula GMAT Problem Solving
• The Work Done By A Woman In 8 Hours Is Equal To The Work Done By A Man GMAT Problem Solving
• A Circle Is Inscribed Inside Right Triangle Abc Shown Above GMAT Problem Solving
• The Temperatures In Degrees Celsius Recorded At 6 In The Morning In GMAT Problem Solving
• A Truck Travelling At 70 Kilometres Per Hour Uses 30% More Diesel To GMAT Problem Solving
• If The Area Of A Rectangle Is Equal To The Area Of A Square, Then The GMAT Problem Solving
• The rectangles shown above are similar and the ratio of the area of GMAT Problem Solving
• A School has Set Different Minimum Qualifying Marks in an Exam GMAT Problem Solving
• The Temperature of Delhi and Lucknow were in the Ratio 3:5 in July GMAT Problem Solving
• When a Certain Tree was First Planted, it was 4 feet Tall and the Height GMAT Problem Solving
• When a Number A is Divided by 6, the Remainder is 3 and When Another GMAT Problem Solving