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how do i solve para jumbles

A sequence of numbers is written in the following fashion: 1, 7, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, ... till ‘n’ terms. The sum of first 5001 terms of the given sequence is

I have a doubt.. If it's given like, "A is sitting two places away from C", how is their arrangement be done? Is it like: A _ _ C C _ _ A (gap of two persons between them) or A _ C C _ A (gap of one person between them)

APPROACH PLEASE

a.the sum of products of ten numbers (both positive &negative; signs)1,2,3,...5 taking two at a time is ?
B.If a ,b ,c are real numbers ,then minimum value of ab+bc+ca?
C. If |x| -|y| =13 then which of following can't be value of x-y? options: -19 / -9/-17/none of these

Find the number of natural number solutions to the system of equations : a+b+c+d+e=20; a+b=4 and a+e =5

For how many integral values of x will |(x-1!)| + |(x-2!)| + |(x-3!)| + |(x-4!)| asuume a minimum value?

Is there a general method to solve problems based on finding number of integral solutions, or do should we try out whatever works each time? For eg. What is the number of positive integral solutions for x^2 + 3y^2 = z^2

No one but (she/her) ever made a perfect score on the test. Please explain the general rule regarding the proper use of pronouns in such cases.

Maybe we're not as rich as (they/them), but I bet we're much happier.
Please explain the general rule regarding the proper use of pronouns in such cases.

all facts r times
all facts r different
sm different r exactly
no times is a knife
con :all facts being knife is a possibility
2.sm diiferent r not times
3.those times which r not facts ,being knife is a possibility