Register
Stind ca n!= 1*2*3*......n sa se arate ca nr 13!-11! se divide cu 31
231k views
1 vote
Stind ca n!= 1*2*3*......n sa se arate ca nr 13!-11! se divide cu 31

User Pronomita Dey
by
9.4k points

1 Answer

5 votes
hello :
13! = 13×12×11!
13!-11!= (13×12×11! ) - 11!
= 11! (13×12 -1)
=11! (156 - 1)
= 11! ( 155)
= 11!(31×5)
13!-11! = 31( 11!×5)

so : 13!-11! se divide cu 31
User Auroranil
by
8.0k points
← Prev Question Next Question →

Related questions

User Avd
asked Nov 12, 2024 160k views
afla produsul a trei nnumere consecutive a,b,c stind ca a este cel mai mare numar natural de doua cifre
Avd asked Nov 12, 2024
by Avd
8.1k points
1 answer
3 votes
160k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Link Copied!