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ProviousProblem Lkstpolru) I| 7000 Jollare Insonlod Dahk nccoumt Your Dolanco L0 roach 460 rkalla?IntetoeIt Lugino ur Yui cornpounded cont luduua Hdt minv Wumeean h...

Question

ProviousProblem Lkstpolru) I| 7000 Jollare Insonlod Dahk nccoumt Your Dolanco L0 roach 460 rkalla?IntetoeIt Lugino ur Yui cornpounded cont luduua Hdt minv Wumeean huotNOTE: Givo your @nswvef Ihe mtarest tenih ol & ydar

Provious Problem Lkst polru) I| 7000 Jollare Insonlod Dahk nccoumt Your Dolanco L0 roach 460 rkalla? Intetoe It Lugino ur Yui cornpounded cont luduua Hdt minv Wumeean huot NOTE: Givo your @nswvef Ihe mtarest tenih ol & ydar



Answers

These problems involve permutations. Contest Prizes In how many ways can first, second, and third prizes be awarded in a contest with 1000 contestants?

As we all know that the thermal stability depends upon caramel. The stability depends upon the iconic character. The iconic get it did of the oxide of the oxide. So here the order will be weird. I know after that Cdo after that HD you because from Falling Skills Law, the electronic negativity of dead and 8 1.65 CD 1.69 and HDH two. Therefore, therefore later the electron negative of the matter more will be the eye. Any character. So here, in this problem of senses, correct?

Hi this is for 7 19. and says that how many numbers greater? Greater than 3000 candy from using the digits 01234 and five. So that a student can operate most one. So these are two important points at most. One and greater than 300. 3000. So I remember the N 3000. This can be I forget number that is something that isn't 3000 3000 plus. It can be a five digit number. It can also be a six digit number because remember here we are given 66 digits. So first we will now write down the possibility. So it can be a four digit number which is in thousands. It can be a five digit number And can be six digit number. So now I just yeah 1 20 1243 and four. five. here 1234 five and six. Mhm. So here if you see closely for a four year number to be better than three, it should be a number which is 303,000 plus. Which means we have a possibility of we can have three here. We can have four here and we can have five where we cannot have 012 here. So here, which means which means that there are three possibilities. Now out of six numbers, One number is here. So out of how many numbers are left? five numbers are left to hear their five opportunities of number here. There four opportunity four choices had their three choices. Now I can rewrite it as three and to five. Petri. Similarly, in the five digit number, the first number should be anything but zero because zero in the start is not significant. So here we have how many possibilities here we have possibilities of five number because zero is not included and similar. And likewise, here we will have five of possibilities Because when possibility is confirmed when number will be here. So out of 61 number is here. So we will have five opportunities for the second digit, four for the third, three for the second last and two. Opportune second. Two opportunities to possibilities for the last. So here this comes, it comes, It goes through five and 2. Five be four. Here. Again, we won't we won't be able to accommodate zero because you're not significant here. So here it all again has five opportunities. Five possibilities, five possibilities for the second digit, four for the third, three for the three possibilities for the 4th, Two possibilities for the second last and one possibility for the last which becomes five and 25 B five. Now This is 3-5, p. three equals to 180 5-5 people equals to 600 and five and 2 five p. 5 again to 600, which makes it around 13 80. Yeah. So which means the four part for part for respect, option for us. Thank you for your time. I hope it was helpful.

Okay, so you're gonna go ahead and find the magnitude of three earthquakes. One with an intensity of 1000 times I zero. Be within one with intensity of one million. Hi zero. And see one with 100 million. Hi zero. Okay. So we want to know that our magnitude formula Yeah Is simply um this magnitude is equal to love 10 Of I over I zero. It's we can go ahead and plug your chin to our formulas. So we can start with a Which is 1000. Hi zero. I will see that the married to just log 10 1000 I zero. And by zero And we'll see this pattern in all three Where these eyes ears go away. So we're just left with log 10 of 1000. I mean that this is a simple uh Power of 10. 10- three. So this is just equal to a magnitude of three. Now the is a million times I. Zero. So this is just If we follow this pattern, we don't have to worry about the I. zero. So she just walked 10 of a million. Let me know a million is 10-6 power. So this is just a magnitude of six. Finally, 100 million. How's your old Are mandatory? Just log 10 Of 100 million. Mhm. Which in our case we know is 10 to the 8th. So we just have lost 10 of Ataxia, which is give us a magnitude of eight.

So this question we have to give out the 1st, 2nd and 3rd prize in a contest with 1000 participants. Since we're giving us the four second and third prize, we consider the order. So if we're considering the order, we give up the prices in the use permutations. So the answer to this would be permutations off three out of thousands we know before we love that this is 1000 factorial divided by 1000 Ministry factorial 1000 Ministry victorious. Simplifying this It's 1000 factorial divided by 997th Victoria, which is basically 1000 science 999 9900 and 98. If you calculate this using the calculator this well you comes to 997 million 2000 some 997 million. 2000 is the total number of ways we could give up the 1st, 2nd and 3rd price


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