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Asked by nitishkrnehu09 18th November 2017, 9:24 PM
Answered by Expert

Answer:
begin mathsize 16px style In space this space case space we space can space not space solve space using space general space formula.
Let space straight X comma straight Y comma straight Z space be space the space gardians space and space straight x comma straight y comma straight z space be space the space corresponding space childrens.
According space to space the space given space question comma
straight X less than straight x comma space straight Y less than straight y comma space straight Z less than straight z
Now space we space have space 6 space cases comma
straight i right parenthesis space XYZ minus negative negative
Here space we space get space 3 factorial equals 6
ii right parenthesis space XY minus straight Z minus negative
XYxZyz comma space XYxZzz comma space XYyZxz comma space XYyZzx
Here space 4 space possible space arrangements.
iii right parenthesis space XY minus negative straight Z minus
XYxyZz comma space XYyxZz
Here space 2 space possible space arrangements.
iv right parenthesis space straight X minus YZ minus negative
XxYZyz comma space XxYZzy
Here space 2 space possible space arrangements.
straight v right parenthesis space straight X minus straight Y minus straight Z minus
Here space only space one space possible space arrangement.
XxYyZz
vi right parenthesis straight X minus negative YZ minus
This space situation space is space not space possible space according space to space the space question.
Hence comma space 6 plus 4 plus 2 plus 2 plus 1 equals 15
straight N equals 6 cross times 15 equals 90.
end style
Answered by Expert 18th November 2017, 11:04 PM
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