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CBSE Class 11-science Answered

Write the remainder obtained when  1!+2!+3!+......+200! Is divisible by 14
question image
Asked by imnikuaj | 13 Feb, 2018, 07:56: AM
answered-by-expert Expert Answer
begin mathsize 16px style 1 factorial plus 2 factorial plus 3 factorial plus 4 factorial plus 5 factorial plus 6 factorial plus 7 factorial plus...... plus 200 factorial
now space
1 factorial plus 2 factorial plus 3 factorial plus 4 factorial plus 5 factorial plus 6 factorial plus 14 open parentheses sum space of space remaining close parentheses
873 plus 14 open parentheses sum space of space remaining close parentheses
14 cross times 62 plus 5 plus 14 open parentheses sum space of space remaining close parentheses
14 cross times open parentheses sum space of space remaining plus 62 close parentheses plus 5
14 cross times open parentheses straight P close parentheses plus 5
so space 5 space is space remainder end style
Answered by Arun | 13 Feb, 2018, 11:17: AM

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