The value of 61!/(58!*3!)

Question

The value of  \frac{61!}{58!*3!}  is

A. 3599
B. 34990
C. 35990
C. 36990
D. 359900

chipsy · Answer

61!/(58!*3!) = (59*60*61)/(2*3)

Answer would be 0 at unit digit.

So option C

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suchita2409 · Answer

59×10×61

=35990

U dont have to calculate .It will have only one zero at units place.

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rajatchopra1994 · Answer

Explanation:
= 61!/58!x3!
= 59x60x61/2x3
= 590X61
= 35990

IMO-C

Nipungupta9081 · Answer

61!/58!x3!
We can cancel out the numbers 
= 59x60x61/2x3
= 590X61
= 35990

IMO C

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Satishqwerty · Answer

\frac{61!}{58!*3!} = \frac{61 	imes 60 	imes 59}{ 3!}

61 	imes 10 	imes 59

We know that the answer will have only one 0 at the end, but there are 3 options ending with 0.

Now,  61 	imes 59 = (60+1)(60-1) = 60^2 - 1^2 = 3600 - 1 = 3599

3599 	imes 10 = 35990

OA, C

Neha2404 · Answer

61!/58!*3 
=61*60*59/3*2
=61*(60-1)*10
=35990

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