Question

AJUDA!!! Resolva os exercícios de arranjo e combinação e permutação:

A11,3 + C11,3

A2003,4/C2003,4 + 1

Answer 1

An,x =n!/(n-x)!

Cn,x=n!/(n-x)!x!

a)

A11,3 + C11,3

=11!/(11-3)!   +11!/(11-3)!3!

=11!/8!   +11!/8!3!

=11*10*9*8!/8!   +11*10*9*8!/8!3!

=11*10*9  +11*10*9/3!

=11*10*9  +11*10*9/(3*2*1)

=11*10*9  +11*5*3

= 1155

b)

A2003,4/C2003,4 + 1

(2003!/(2003-4)!) / (2003!/(2003-4)!*4!)  +1

(2003!/1999!) / (2003!/1999!*4!)  +1

(2003!/1999!) * (1999!*4!)/ 2003!  +1

(1/1999!) * (1999!*4!) +1

(1/1) * (1*4!) +1

4!+1

4*3*2*1 +1

=24+1 = 25