Jan 20, 2023 · Ans. If we multiple 0 with any number then answer always 0 12×0= 0 If we add 0 with any number then always same number 0+1 = 1.

Jan 6, 2022 · Here's a small trick: Since we want the coefficient of x2020 x 2020 , it suffices to find the coefficient of x2020 x 2020 in the expansion ...

Feb 8, 2022 · It turns out the number of solutions is 455. (I've taken zero to be a non-negative integer for purposes of this problem.) There's not enough ...

Apr 14, 2019 · The solution is bit simple for this number pattern. The series is generated by adding odd numbers to the given available number starting from 3 ...

Apr 16, 2016 · 1-x-x^2+x^3) = (1-x)-x^2(1-x) = (1-x)(1-x^2) = (1-x)^2(1+x) Given expression = { (1-x)^2(1+x)}^6 = (1-x)^12 (1+x)^6 Coefficient of x^n in ...

May 1, 2021 · The number n! n ! ends with two zeros, so there are exactly two multiple of 5 5 among the numbers up to n n . Thus, if 3628800=n!

Feb 20, 2023 · Hint: it's the same answer as “How many ways are there to put 5 balls into 12 boxes, with no restrictions?” Let's label the remaining 5 balls 1 ...

Aug 21, 2019 · The answer is 10. If you want to know how to calculate the number if the factorial is given , just keep on dividing the number, starting from 2 ...

May 13, 2020 · Hint: it's the same answer as “How many ways are there to put 5 balls into 12 boxes, with no restrictions?”.

Jul 9, 2017 · In how many ways can you distribute 10 distinct balls into 4 distinct boxes, so there's no box with exactly 3 balls? Here's an analytical answer ...