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19*18*17*16*15 = 1,395,360

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Q: How many different ways can a teacher select 5 students from a class of 19 to each perform different task?
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When A math teacher needs to choose 6 students from a class of 30 to go to the library. How many different groups can she select?

30 over 6, or 30 choose 6 - which is the same as (30 x 29 x 28 x 27 x 26 x 25) / (1 x 2 x 3 x 4 x 5 x 6).


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HQL is to perform both select and non-select operations on data, but Criteria is only for selecting data, we can't perform non-select operations using criteria.HQL is suitable for executing static queries, where as Criteria is suitable for dynamic queries.HQL doesn't support pagination concept, but we can achieve pagination with Criteria.Criteria used to take more time to execute than HQL.With Criteria we are safe with SQL injection, because of its dynamic query operation, but in HQL as your queries are either fixed or parametrized , there is no safe for SQL injection.


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How many ways can you select 3 different toppings for a pizza with 8 toppings to choose from?

8 over 3, which is the same as (8 x 7 x 6) / (1 x 2 x 3).


How many ways can 5 students line up?

To do this you would use a ! function in your calculator. In short this takes any number and multiplies it by all the number beneath it. In this case it would say 5 x 4 x 3 x 2 x 1. You arrange it this way because they're are five different people in spot on, but once spot one is taken there are only 4 people left for spot two and so on. So, the answer to this would be 120 different combinations.The reasoning is the following: To select the first student, you have 5 options. For the second, whichever you chose for the first student, you have 4 options... etc.

Related questions

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In a mathematics class with 30 students the teacher wants 2 different students to present the solutions to problems 3 5 on the board In how many ways can the teacher assign the problems?

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A professor must randomly select 4 students to participate in a mock debate. There are 18 students in his class. In how many different ways can these students be selected if the order of selection doe?

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A teacher has 10 boys and 16 girls in her class In how many ways can she select 8 of the children to be in a play if she must select 4 boys and 4 girls?

She can select 210 different groups of boys and 1820 different groups of girls giving, wait for it, 382200 possible casts!


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A teacher has the task of choosing five students to display homework problems on the chalkboard at the beginning of class describe how the teacher might select the students using a cluster sample?

With a cluster sample, the teacher could divide the class into smaller groups or clusters based on some criteria like seating arrangement or alphabetical order. The teacher would then randomly select a few clusters from which to choose the students for the task. This method allows for a more manageable way to select students while still maintaining a random element.


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How many different committees can be formed from 9 teachers and 41 students if the committee consist of 4 teachers and 2 student?

You can select 4 of the 9 teachers in any order, and for each of those selections you can select 2 of the 41 students in any order. This is two combinations → number_of_ways = ₉C₄ + ₄₁C₂ = 9!/((9-4)!4!) + 41!((41-2)!2!) = 126 + 820 = 946 different committees.