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i)7 books can be arranged on a shelf in 5040 ways
ii)3 books are always together by arranging them in 6 ways
Explanation:
i) It is because these no/s based on permutations
The Maths behind it is
1#)one book = 1 way (1×1)
2#)two books = 2 ways (2×1#) (2×1)
3#)three books = 6 ways (3×2#) (3×2)
4#)four books = 24 ways (4×3#) (4×6)
5#)five books = 120 ways (5×4#) (5×24)
6#)six books = 720 ways (6×5#) (6×120)
7#)seven books= 5040 ways(7×6#) (7×720)
ii)Arranging of three books in same order
720 ways as three books of the books can be arranged in two order when kept one as constant
For ex A B C
A C B
Then,(3×2)# = 6# = 720 ways
:) Hope this Helps!!!
i)7 books can be arranged on a shelf in 5040 ways
ii)3 books are always together by arranging them in 6 ways
Explanation:
i) It is because these no/s based on permutations
The Maths behind it is
1#)one book = 1 way (1×1)
2#)two books = 2 ways (2×1#) (2×1)
3#)three books = 6 ways (3×2#) (3×2)
4#)four books = 24 ways (4×3#) (4×6)
5#)five books = 120 ways (5×4#) (5×24)
6#)six books = 720 ways (6×5#) (6×120)
7#)seven books= 5040 ways(7×6#) (7×720)
ii)Arranging of three books in same order
720 ways as three books of the books can be arranged in two order when kept one as constant
For ex A B C
A C B
Then,(3×2)# = 6# = 720 ways
:) Hope this Helps!!!
nitthesh7:
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