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Probability-Combinatorics

  Combinatorics The different combinations from specific finite sets It has some restrictions 1. Repetition 2. Order 3. Different Criteria So we have 3 things 1. Permutation 2. Variations 3. Combinations # No of favorable outcomes # No of all elements in a sample space Permutations The number of different possible ways we can arrange a set of elements P n = n x (n-1) x (n-2)x............ 1 = n! n! = Product of numbers from 1 to n Negative numbers don't have factorial 0!=1 Example 6! = 5! x 6 7! = 6! x 7 (n + k)! and (n - k )! (n + k)!= n! x ( n+1) x (n+2) x .......(n+k) (n - k)!=                           n!                                           (n - k + 1) x ( n - k + 2)..........x n n > k n!/k!= ( k + 1)  x ( k + 2) x ............... x n 7!/4!= 5 x 6 x 7 Variations The total number of ways w...

Probability- Basics

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  Probability The likelihood of an event occurring  What is an Event For Understanding, We take the example of flipping a coin There will be 2 Chance  Head  <-----------------> Tails Chance occurring is an event So, the event will be likely or unlikely to happen For Event Occurring --> 1 For Event not Occurring ---> 0 Define Formula A --> Event' P(A) --> Probability For Coin                  P(A) = 1/2= 0.5 For Dice               P(A) = 1/6 =~ 0.167 So, Now We have to see the Probability of Two independent events same time             P( A and B ) = P(A). P(B) Expected Values The average Outcome we expect if we run an experiment many times There are two kinds of Probability 1. Experimental Probability - 80 %  2. Theoretical ( True) Probability- 20% Experimental Probability – The probability we assign an event, based on an expe...

DIFFERENT OPTIONS WHICH CAN BE THOUGHT OF AFTER COMPLETION OF B.TECH

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1. Job after graduation (B.Tech) - The job opportunities after B.Tech is a good option. You can enter the software industry according to your specialization provided you possess good communication skills. It is better to get job in a company through campus placements or via online platform like linkedIn or online platform as it is difficult to get job after you are out of the college or after sometime of graduation. You can also do job for sometime after completing B.Tech and then start studying for your P.G course. We know it is not an easy task to look for a job which fulfills our  requirement but in an age of so much competition it is a troublesome task. If you are economically efficient and don’t need a job, it is better you go for your further studies. A specialization will always earn you more salary as well as priority during interviews and of course sound grip over subject.Otherwise you can find some job. For more information about Jobs just Scroll Down( 3.other option...