Answer each permutation problem completely. 1. A teacher...

Answer each permutation problem completely. 1. A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do it? 2. In a certain general assembly, three major prizes are at stake. In how many ways can the first, second, and third prizes be drawn from a box containing 120 names?

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00:01 Hello, i am a teacher for the question.

00:03 In this given question, we need to write a 10 item math problem solving test.

00:10 How many ways can you select five problems to solve? so we are given with 10 different problems in a math test, write 10 different math problems.

00:27 So what i'll be writing it is we need to select 5.

00:31 So if you need to select 5, so if you need to select 5 you will be using 10 c5 here.

00:36 You will be using a 10c5 as the calculation.

00:39 So you will be writing that select.

00:41 In how many ways can you select 5 problems to solve? that is 10c5.

00:45 So 10c5 can be solved as 109876.

00:53 All right, 5 numbers before 10.

00:56 So 109, 8, 7, 6.

00:59 So you will be writing in the denominator 5, 4, 3, 2, 1 in the reverse order.

01:03 All right, you will be writing this way.

01:05 Now, i'll be having that three to the six, cancel, four to the eight, then five twos are ten, nine to the eight, eighteen, eighteen to the thirty six, thirty six sevens are.

01:18 So thirty six sevens are, so you will be writing that thirty six times seven can be written as seven six of forty two, two and then four seven three is a twenty one and four two fifty two.

01:29 All right, this is the answer for this first one...

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