Sir please explain me how to solve pascal triangle pattern for n = 5

#1

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

#2

@abhisheksinghchauhan442,

Pascal’s triangle is the triangular array of the binomial coefficients.The number of entries in a given line is equal to the line number.Every entry in the line is the value of a binomial coefficient. The value of ith entry in the number line is C(line,i)(i.e apply mathematical combination formula ).

Where C(line,i)=line!/((line-i)!*i!).

#3

sir I am not understanding the line Where C(line,i)=line!/((line-i)!*i!).
please explain me

#4

@abhisheksinghchauhan442,

Here if you look closely every ith number is the binomial coefficient of the expansion (1+x)^k where k starts from 0.

Also number in line k at ith position = k!/( (k-i)! * i!)
and number in k line at (i-1)th position = k!/( (k-i + 1)! * (i-1)! )
Therefore number in line k at ith position is (number in k line at (i-1)th position) * (k - i + 1) / i

#5

I hope I’ve cleared your doubt. I ask you to please rate your experience here
Your feedback is very important. It helps us improve our platform and hence provide you
the learning experience you deserve.

On the off chance, you still have some questions or not find the answers satisfactory, you may reopen
the doubt.