vkash said:there are n students in a class. They are selected in sets of m. A student says he is selected a times. find value of a in terms of m and n.
Total number of selections made are nCm.
After that nothing is striking in my mind.can you please help.
getting trend how it is happening and understanding how is it happening is different thing & i want to know second one not first one so it will helpful for me if you did it with variables.Ray Vickson said:Start by looking at small example, such as n = 4 and m = 2, 3 or 4. Select an element such as '1', and look at all the subsets that contain that element. Once you see the pattern, it should be easier to look at the general n, m problem.
RGV
vkash said:getting trend how it is happening and understanding how is it happening is different thing & i want to know second one not first one so it will helpful for me if you did it with variables.
so can anybody please do it with variables.
Permutation and combination are two types of mathematical arrangements. Permutation refers to the number of ways to arrange a set of objects in a specific order, while combination refers to the number of ways to select a subset of objects from a larger set, regardless of the order. In other words, permutation involves arranging items in a particular sequence, while combination involves selecting items without regard to the order.
The number of permutations can be calculated using the formula nPr = n! / (n - r)!, where n is the total number of items and r is the number of items being arranged. For example, if you have 5 objects and want to arrange them in groups of 3, the calculation would be 5P3 = 5! / (5-3)! = 5!/2! = 60.
Permutations are used when the order of items matters, such as arranging a playlist or seating arrangements. Combinations are used when the order does not matter, for example, selecting a committee or choosing toppings for a pizza. It is important to carefully consider whether order is important in the problem at hand in order to determine which mathematical arrangement to use.
Yes, most scientific calculators have a permutation and combination function that can be used to solve these types of problems. However, it is still important to understand the concepts and formulas behind these calculations in order to ensure accurate results.
Permutation and combination are used in many real-life situations, such as in probability and statistics, genetics, and computer science. They can also be used in everyday scenarios, such as creating unique passwords, organizing a schedule, or designing a lottery game. Understanding these concepts can help in problem-solving and decision-making in various fields.