Question

Suppose a lottery consists of picking 6 different numbers from 1 to 52. (The order you pick them doesn’t matter). How many possible lottery tickets are there?

Answer 1

is tickets having numbers first tickt we In the lottery, there from 1 to 52. Now, for choosing the we have a choices and for all of these 52 choices have (B2-1) = 51 Choices for Choosing the second Card [ywe have to Choose distinct Cards]. So, similarly for and card Choosing we have 51-150 choices and so on, which make all total 52x51x50x40x48x47 Choice for six Cards. Now, we don't consider the order of the six Cards so while considering aparticular set of 6 cards they can arrange them 6x5 x 4 x3 x 2x1 261 ways , so, we consider 6! cases into I Care only so total 52 x51 x 50 x 49 x 48 x 47 cerses will be considered 1 (52 x 51 x 50 x48x48x47) Cases a 6! 20.358 520 Cores (Am) Enoten we can also explain the whole Calculation using Combination notations, so, from 52 cards we can choose o cards (without 521 order) in B29 ways z [ ~ men 6. (52-6)}, -o? 52) 52x51x50x49x48647 x(n-1) 61.* 461 6! 20358520 Amy in as' 2 n! 2 2 고 N