(Q). find the first two non-zero digit FTNZD of (555!).(444!).Solution:- if wer multiply these two factorial numbers then number of trailing zeros in the product will be the summation of trailing zeros in these two factorial numbers.∴ FTNZD of product = FTNZD(555!) ×...
(Q). A three digit number xyz is such that x + y + z = 26. Then find the sum of all possible values of x!.y!.z!.Solution:- x + y + z = 269 9 8 ⇾ 998, 989, 899∴ there will be three such numbers.9!.9!.8! + 9!.8!.9! + 8!.9!.9!= 3.9!.9!.8!...
(Q). If highest power of 8 in N! is 19. Then find the highest power of 8 in (N+1)!.Solution:- Highest power of 8 in N! = 19∴ highest power of 2 in N! = 57, 58 or 59now we are to find such value of NTo find such...
(Q). Find the FNZD in 20!×30!×40!×50!×60! Solution:- In this case the number of trailing zeros in the product will be the summation of number of trailing zeros in individual terms. & FNZD of the product will be the multiplication of the FNZD’s of all the...
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