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CBSE Class 11-science Answered

WHY 0 FACTORIAL IS EQUAL TO 1
Asked by ksinghal.10 | 05 Jul, 2014, 02:09: PM
answered-by-expert Expert Answer

C o n s i d e r space t h e space f o l l o w i n g : 1 factorial equals 1 cross times 1 2 factorial equals 2 cross times 1 equals 2 3 factorial equals 3 cross times 2 cross times 1 equals 6 4 factorial equals 4 cross times 3 cross times 2 cross times 1 equals 24 . . . n equals n cross times open parentheses n minus 1 close parentheses cross times open parentheses n minus 2 close parentheses cross times... cross times 3 cross times 2 cross times 1 space space equals n cross times open parentheses n minus 1 close parentheses factorial N o w space w h e n space n equals 1 comma space w e space h a v e comma 1 factorial equals 1 cross times open parentheses 1 minus 1 close parentheses factorial space space space space equals 1 cross times 0 factorial S i n c e space 1 factorial equals 1 comma space w e space h a v e comma space 1 cross times 0 factorial equals 1 comma space a n d space t h u s comma space 0 factorial equals 1

Answered by Vimala Ramamurthy | 05 Jul, 2014, 02:26: PM

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