Loading...
UPSC 2006: Each of 8 identical balls is to be placed in the squares shown in the figure given above in a horizontal direction such that one horizontal row contains 6 balls and the other horizontal row contains 2 balls. In how many maximum different ways can this be done?
(a)38
(b)28
(c)16
(d)14
Attempt This Question
Not attemptedCorrect Answer: (a) 38
There are two symmetrical cases. If the longer row (x-row) gets 6 balls, the remaining 2 balls can be placed either in any two of the 6 squares of the shorter row (⁶P₂ = 15 ways) or together in any one of the four two-square segments (4 ways), totalling 19. The mirror image where the y-row has 6 balls adds another 19, giving 19 + 19 = 38 distinct arrangements. Thus option (a) 38 is correct. ([doubtnut.com](https://www.doubtnut.com/pcmb-questions/31533?utm_source=openai))
Related UPSC Questions
More from Quantitative Aptitude
2006moderate
A watch showed a time of fourteen minutes past nine (9 hrs 14 minutes). The positions of the hour-hand and the minute-hand of the watch are exactly in
2006moderate
A mixed doubles tennis game is to be played between two teams (each team consists of one male and one female). There are 4 married couples. No team is
2006moderate
How many numbers are there in all 6000 to 6999 (both 6000 and 6999 included) having at least one of their digits repeated?
Related Science & Technology Topics
2006Chemistry
Consider the following chemicals: 1. Benzene 2. Carbon tetrachloride 3. Sodium carbonate 4. Trichloroethylene Which of the above is/are used as dry-c
2006Health & Diseases
Consider the following statements: 1. Caffeine, a constituent of tea and coffee, is a diuretic. 2. Citric acid is used in soft drinks. 3. Ascorbic aci
Frequently Asked Questions
What is the correct answer to this UPSC 2006 Science & Technology question?▼
The correct answer is option (a): 38. Watch the detailed video explanation in our Sherlocking Prelims course on UnlockIAS.
Which year was this Quantitative Aptitude question asked in UPSC Prelims?▼
This question was asked in UPSC CSE Prelims 2006, GS Paper 1, as Question 56. It falls under Science & Technology > Quantitative Aptitude.
What is the difficulty level of this UPSC question?▼
This question is rated "moderate". It requires sound conceptual understanding of the topic.
How many UPSC Prelims questions have been asked from Quantitative Aptitude?▼
UPSC has asked 178 questions from Quantitative Aptitude (under Science & Technology) across multiple years. Visit the topic page to see the full list and year-wise trends.