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A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 10 cups of tea are prepared, 5 in one way and 5 in other. Find the different possible ways of presenting these 10 cups to the expert.

A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 10 cups of tea are prepared, 5 in one way and 5 in other. Find the different possible ways of presenting these 10 cups to the expert. Correct Answer 252

Since, there are 5 cups of each kind, prepared with milk or tea leaves added first, are identical hence, total number of different people ways of presenting the cups to the expert is,$$\eqalign{ & = \frac{{10!}}{{5! \times 5!}} \cr & = 252 \cr} $$

Related Questions

Atea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 10 cups of tea are prepared, 5 in one way and 5 in other. Find the different possible ways of presenting these 10 cups to the expert.
Out of 10 employees in an office 5 drink 2 cups of coffee per day, 3 drinks 3 cups of hot chocolate per day and 2 drink 5 cups of tea per day. If it is known that on an average to make a cup of coffee 100 ml of milk is used, to make a cup of hot chocolate 180 ml of milk is used and to make a cup of tea 60 ml milk is used, find the monthly expenditure on milk of the company, if milk is 46 rupees per liter.
A milk seller bought certain quantity of pure milk. He first sold 20 litres of pure milk. He added 20 litres of water to the remaining quantity of milk. He then sold 20 litres of the milk water mixture and added 20 litres of water to the mixture. He again sold 20 litres of this milk water mixture and added 20 litres of water to the mixture. Now, the ratio of milk to water is 8 : 19. How much quantity of pure milk in litres did he buy in the first place?
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Study the two cases and answer in terms of relation between the two cases Case 1: Two cans are filled with the mixture of milk and water. The first can contain 72% of water and second can contains 60% of water. A new mixture is prepared by taking 9 part of first can and 6 part of second can. The percentage of milk in the new mixture is? Case 2: For testing, 80 ml of milk and water mixture is taken from a container which has 62% water by weight. If in the test tube, additional 20% water of the total water is added, then the % of milk in the test tube is?
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Which is the highest consumed beverage from tea, coffee and milk in the list given below? tea, tea, coffee, milk, tea, milk, tea, coffee, tea, coffee, milk, tea
A three-star medicine is prepared by mixing two type of fluids (A & B) in ratio of 1 : 4. Fluid A is prepared by mixing two type of water, water M and water N in ratio of 4 : 5. Fluid B is prepared by mixing two type of water, water X and water N in ratio of 3 : 7. The final mixture is prepared by 675 units of three-star medicine with water Y. If the concentration of the water N in the final mixture is 60%, then how much water Y had been added to three-star medicine?
Naveen runs a tea stall. Every day, he buys 10 litre of milk at the rate of Rs. 55 per litre. He spends Rs. 85 on tea leaves, Rs. 75 on sugar, and Rs. 35 on cooking gas. With all these ingredients, he makes and sells 100 cups of tea. Additionally, Naveen spends 55 paise per disposable glass to serve the tea. At what price should he sell each cup of tea to earn a profit of 50% on the entire transaction?
There are two containers, the first one contains 1 litre pure water and the second one contains 1 litre pure milk.Now 5 cups of water from the first container is taken out is mixed well in the second container. Then, 5 cups of this mixture is taken out and is mixed in the first container. Let A denote the proportion of milk in the first container and B denote the proportion of water in the second container then: