Latest MBA Aptitude Question SOLUTION: there are 12 intermediate stations between two places A and B. I n how many ways can a train be made to stop at 4 of these 12 stations that no two stations are consecutive?

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Previous Question: The playground of our school is in the shape of a quadrilateral ABCD. P and Q are points on AB and AD respectively such that AP = 50 m and AQ = 30 m. A flagpost standing vertically on the ground subtends angles of 45° and 30° at P and Q respectively. If P and Q are the nearest points on the sides AB and AD to the flagpost, find the height of the flagpost.

1) 30* root 2
2) 20* root 3
3) 20* root 2
4) Cannot be determined
Next Question: In how many ways 105 can be written as sum of two or more consecutive numbers ? [with approach]

1) 4
2) 5
3) 6
4) 7

(#M40014773) MBA question permutations and combinations, probability Keep an EYE

there are 12 intermediate stations between two places A and B. I n how many ways can a train be made to stop at 4 of these 12 stations that no two stations are consecutive?

1) 15C3
2) 11c3
3) 9c4
4) 9c3

Asked In MBA (11 years ago)

Unsolved Read Solution (2)

Is this Puzzle helpful?   (16)   (7) Submit Your Solution

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Read Solution (2) :

DARSHAN LATHIA  (7 years ago)

Since there are 12 stations and 4 stations are stoppage. We remove those 4 stations. Now between A and B there are 8 stations and 9 spaces. (between n stations there are n+1 spaces). Thus there are 9 spaces. Since 4 are stoppage,4 stations can be inserted between 9 gaps in 9C4 ways. Thus answer is 9C4.

Is this solution Helpfull? Yes (2) | No (1)  

Aravind Villa  (6 years ago)

Initially, let’s remove the 4 stopping stations. Then we are left with 8 non-stopping stations (=12-4) as shown below. Explanation to Problem on Permutations and Combinations (non-stopping stations are marked as 1,2 … 8) Now there are 9 positions to place the 4 stopping stations such that no two stopping stations are consecutive. This can be done in 9C4 ways. Hence, required number of ways = 9C4

Is this solution Helpfull? Yes (1) | No   

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Previous Question: The playground of our school is in the shape of a quadrilateral ABCD. P and Q are points on AB and AD respectively such that AP = 50 m and AQ = 30 m. A flagpost standing vertically on the ground subtends angles of 45° and 30° at P and Q respectively. If P and Q are the nearest points on the sides AB and AD to the flagpost, find the height of the flagpost.

1) 30* root 2
2) 20* root 3
3) 20* root 2
4) Cannot be determined
Next Question: In how many ways 105 can be written as sum of two or more consecutive numbers ? [with approach]

1) 4
2) 5
3) 6
4) 7

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