What is the remainder when 2(8!)-21(6!) divides 14(7!)+14(13!)?
Answers
Answered by
8
Answer:
7!
Step-by-step explanation:
Given
What is the remainder when 2(8!)-21(6!) divides 14(7!)+14(13!)?
ANSWER
We need to find the remainder, so
2(8!) – 21(6!)
= 2 x 8 x 7! – 3 x 7 x 6!
= 16 x 7! – 3 x 7!
= 7! (16 – 3)
= 13 x 7!
Now remainder will be
14(7!) + 14(13!) / 13 x 7!
Remainder [14(7!)/ 13(7!)] + Remainder [14/(13!) / 13/(7!)]
= 7! X Remainder [14/13 + 0]
= 7! X 1
= 7!
Similar questions