the children from a football club are put into rows in the sports hall when put rows of 9 children there is 2 children left over when put into rows of 25 children there is 2 children left over what is least number number of children in the footbal club
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.! ! !... !k n. p p p. 7.1.7 Combinations On many occasions we are not ... 2. Use combinations if a problem calls for the number of ways of selecting ... 120 permutations of 5 children, there are 48 in which two children.
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Answer:
9 x = M + 2 where M = number of members and x number of rows
25 y = M + 2 where y = number of rows with 25 in row
So 9 x = 25 y
So 9 * 25 = M - 2 and M = 227
and 25 * 9 = M - 2 and M = 227
You can have 9 rows of 25 with 2 left over
or 25 rows of 9 with 2 left over
Since 9 / 25 is in simplest form that must be the least number of children
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