Others Maths Puzzle

100 students are standing across a circular pound. If three students are to be selected who will swim in the pound such that there are at least 2 students between any two selected students. In how many ways this can be done?

(a) 142600
(b) 124600
(c) 162400
(d) none of these

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Others Other Question

Find the remainder when 10³ + 11³ + 12³ + 13³ + 14³ + 15³ is divided by 75.

A. 0
B. 15
C. 25
D. 50
The sum of the products of the root of a equation taken two at a time is 79. The product of its roots and sum of its roots are in the ratio 15:2, if sum of two of its roots equals the third root, find sum of its roots given that all are positive.

A.24
B.52
C.16
D.18