Trying to find the right answer to this..

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Permutations and Combinations

Short Answer Type

41. Find L.C.M. and H.C.F. of 2 x 2!, 4! and 3 x 5!

131 Views

42.

Show that :

$space space space space space space space fraction numerator left parenthesis 2 straight n right parenthesis factorial over denominator straight n factorial end fraction space equals space left square bracket 1 times 3 times 5 times........... space left parenthesis 2 straight n minus 1 right parenthesis right square bracket 2 to the power of straight n$

95 Views

43. Prove that n! + (n + 1)! = [n + 2] x n !

L.H.S. = n! + (n + 1) ! = n! + [n + 1] x n! = n! [1 + n + 1] = n! (n+2)

= [n + 2] x n! = R.H.S.

∴ L.H.S. = R.H.S.

Hence, n! + (n + 1)! = (n + 2) x n!

89 Views