Question

C 6 luate cate0 + C 6 luate cate1 +.....C 6luate cate 6
dau coroana​

Answer 1

Răspuns:

64

Explicație pas cu pas:

C₆⁰+C₆¹+C₆²...+C₆⁶ =

=6!/[(6-0)!·0!] +6!/[(6-1)!·1!] + 6!/[(6-2)!·2!] +6!/[(6-3)!·3!]+

+6!/[(6-4)!·4!] + 6!/[(6-5)!·5!] + 6!/[(6-6)!·6!] =

0! = 1! = 1

= 6!/6! + 6!/5! + 6!/(2·4!) + 6!/(3!·3!) + 6!/(2·4!) + 6!/5!+6!/6! =

= 1 + 6 + 6·5/2 + 6·5·4/6 + 6·5/2 + 6 + 1 =

= 14+15+20+15 = 64