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number theory
Thirty six numbers are filled in the cells of a matrix as shown in the figure given below. Six numbers are chosen from the matrix such that no two numbers belong to the same row or the same column. In how many ways can the numbers be chosen? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 2...
- by priyankagumber
Wed Jul 22, 2009 9:06 am- Forum: Problem Solving
- Topic: number theory
- Replies: 6
- Views: 2362
number theory
Find the number of possible values of integer ‘x’ such that 41^n when divided by ‘x’ leaves 1 as the remainder. (‘n’ is any prime number greater than 5)
- by priyankagumber
Wed Jul 22, 2009 9:01 am- Forum: Problem Solving
- Topic: number theory
- Replies: 4
- Views: 1420
functions
Find the minimum value of the following function:
f(x) = (x – 5)2 + (x – 7)2 – (x – 4)2 – (x – 8)2 + (x – 3)2 + (x – 9)2
- by priyankagumber
Wed Jul 22, 2009 8:42 am- Forum: Problem Solving
- Topic: functions
- Replies: 5
- Views: 1523