Question

26!/25!

 

5!*3!/7!

 

7!-5!/5!

 

149!/148!-36!/35!

 

9!*5!/7!*6!

 

 

Answer 1

26!/25!=26

5!*3!/7!=3!/6*7=1/7

7!-5!/5!=5040-120/120=4920/120=41

149!/148!-36!/35!=149-36=113

9!*5!/7!*6!=8*9*5!/6!=8*9/6=72/6=12

Answer 2

$frac{26!}{25!}=frac{25!*26}{25!}=26$

$frac{5!*3!}{7!}=frac{5!*3!}{5!*6*7}=frac{3!}{6*7}=frac{6}{6*7}=frac{1}{7}$

$frac{7!-5!}{5!}=frac{5!*6*7-5!}{5!}=frac{5!*(6*7-1)}{5!}=42-1=41$

$frac{149!}{148!}-frac{36!}{35!}=frac{148!*149}{148!}-frac{35!*36}{35!}=149-36=113$ 

$frac{9!*5!}{7!*6!}=frac{5!(6*7*8*9)}{5!(6*7*6)}=frac{6*7*8*9}{6*7*6}=frac{8*9}{6}=frac{4*9}{3}=4*3=12$