the principal of a school wants to arrange 5 students on the platform such that the girl 'ARUSHI' occupies the second possition and the boy ' ABHISHEK' IS always adjacent to the boy 'ANUBHAV' . how many such arrrangement are possible ?
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hi there!
Here's the answer:
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Let the positions be
_ _ _ _ _
No of ways that Arushi occupies second position = 2C1 = 2
(Position from left and from right)
_ (ARUSHI) _ _ _
Now there are 4 positions left
Out of these 3 positions
When Anubhav 2nd position, Abhishek occupies a place adjacent to him in 2 different ways
When anubhav occupies first place, then Abhishek occupies in 1 way
When anubhav occupies third place, then Abhishek occupies in 1 way
•°• No. of ways Anubhav can occupy a place adjacent to Abhishek is always adjacent to him = 2 + 1 + 1 = 4
The remaining Students occupy a place on remaining two positions in 2 different ways
Hence total Possible ways of Arrangements = 2 × 4 × 2 = 16
•°•°•°•°•°<><><<><>><><>°•°•°•°•°•°
Here's the answer:
•°•°•°•°•°<><><<><>><><>°•°•°•°•°•°
Let the positions be
_ _ _ _ _
No of ways that Arushi occupies second position = 2C1 = 2
(Position from left and from right)
_ (ARUSHI) _ _ _
Now there are 4 positions left
Out of these 3 positions
When Anubhav 2nd position, Abhishek occupies a place adjacent to him in 2 different ways
When anubhav occupies first place, then Abhishek occupies in 1 way
When anubhav occupies third place, then Abhishek occupies in 1 way
•°• No. of ways Anubhav can occupy a place adjacent to Abhishek is always adjacent to him = 2 + 1 + 1 = 4
The remaining Students occupy a place on remaining two positions in 2 different ways
Hence total Possible ways of Arrangements = 2 × 4 × 2 = 16
•°•°•°•°•°<><><<><>><><>°•°•°•°•°•°
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