Either India wins all matches. probability = (2/3)^10 Or India loses one of its qualifying round matches, which can be with any amongst the 8 other teams. Probability = 8* (2/3)^9 * 1/3 So, option d is the correct answer.

The question is improperly phrased! Anyways, let us assume certain things here!! The bus covers 27 miles in 30 minutes. So time taken = 27/30 (in hours) Then the bus stays at the destination for 30 min. So time taken = 1/2 (in hours) Next, the speed of the bus increases by 50%, so time taken by the bus now = 27/45 (in hours) So, total time taken after 8am = 27/30 + 1/2 + 27/45 = 9/10 + 5/10 + 6/10 = 20/10 = 2 8.00 AM + 2 hours = 10.00 AM -> the bus returned

There was a grand mother in a village who had a grand child.Upon asking her grand childs age she told that she is as older as many days old as her daughters age in weeks and as many days as her own age in years.The sum of the three is 130.then how old is the child.?

Here, the gloves and hats are different entities. Suppose the lady selects a blue glove. Then she can select a blue hat in 25 ways (assuming that the lady has 25 gloves and 25 hats) On similar lines, Desired answer = 25*25 + 7*7 + 9*9

When you need to select m out of n things, we use combinations, i.e. nCm When you need to arrange something, we use permutations, i.e. nPm 1) to select 2 out of 6 -> So, 6C2 2) Fundamental Theory of Counting: If you can do one thing in m ways and another thing in n ways, the number of ways of doing both the things = m*n ways. Using the same concept here, we get 2*8 = 16 combinations 3) 8C2 ways 4) Use permutations for all the above!

Mr X position in a class is 13th from first and 17th from last, and 8th from the first and 13th from last in passed candidates list, then how many candidates failed in the exam

Total list: 12 students befoe X followed by 16 students. In total (12+16+Mr X) = 29 students. Passed : 7 students before X followed by 12 students. In total (7+12+ Mr X) = 20 students. Hence 9 students failed

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