Saved Bookmarks
| 1. |
If `m, n, r, in N` then `.^(m)C_(0).^(n)C_(r) + .^(m)C_(1).^(n)C_(r-1)+"…….."+.^(m)C_(r).^(n)C_(0)` `=` coefficient of `x^(r)` in `(1+x)^(m)(1+x)^(n)` `=` coefficient of `x^(f)` in `(1+x)^(m+n)` The value of `r(0 le r le 30)` for which S = `.^(20)C_(r).^(10)C_(0) + .^(20)C_(r-1).^(10)C_(1) + ........ + .^(20)C_(0).^(10)C_(r)` is minimum can not beA. `0`B. `1`C. `30`D. `15` |
|
Answer» Correct Answer - B::D `S = .^(30)C_(r)`, is least at `r = 0` and `r = 30` |
|