According to the Binomial Theorem,(a + b)n = an + nC1an − 1b + ... + nCran − rbr + ... + nCn − 1abn − 1 + bnthe given expression is already in the form (a + b)n, where a = x, b = and n = .

Find the specified nth term in the expansion of the binomial.(x – 10z)7, n = 6Step 1According to the Binomial Theorem,(a + b)n = an + nC1an − 1b + ... + nCran − rbr + ... + nCn − 1abn − 1 + bnthe given expression is already in the form (a + b)n, where a = x, b = and n = .

b n​ =b 1​ ⋅q n−1

if nC12 = nC8, what is n equal to

The binomial theorem states that (a + b)n =n∑k=0nCkan−kbk for all n ∈ N.Use the binomial theorem to help show that∫ π20 cos2n+1 x dx =n∑k=0nCk(−1)k2k + 1

Binomial Coefficient Problem Send Feedback A Ninja was learning how to calculate the binomial coefficient. But, learning that alone won’t help the ninja since a lot of problems are required to be solved as homework. Since the ninja is old-fashioned and doesn’t know that a computer can do the same homework in a matter of a few seconds you will have to help with the problems. You need to complete a function for the ninja that can calculate the binomial of a number where when given two integers 'N' and 'R', the program can calculate its respective binomial coefficient nCr. Since the answer may be very large, calculate the answer modulo 10^9 + 7. For Example: Input: 'N' = 5, 'R' = 2 Output: 10 The value of 5C2 is 10 Input Format N R space separated in one line Output Format