Question

10!/6!4!+10!/5!5!=11!/6!5!​

Answer 1

Answer:

10/64+10/55=11/65

0.15625+0.18181=0.16923

0.33806=0.16923

Answer 2

Step-by-step explanation:

if we use the formula that

nCr + nCr+1 = n+1Cr+1

put n= 10 and r= 4

10C4 + 10C5 = 11C5

10!/4!6! + 10!/5!5! = 11!/5!6!

proved

else we can solve the factorials on LHS and RHS

LHS

10!/6!4! + 10!/5!5!

= (7*8*9*10)/(1*2*3*4) + (6*7*8*9*10)/(1*2*3*4*5)

= 210 + 252 = 462

RHS

11!/6!5!

= (7*8*9*10*11)/(1*2*3*4*5)

= 42*11 =

= 462

hence

LHS = RHS