1×3×5×7.............99 ka ikai ank kya hoga
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I will use P(1 - n) to mean the product of numbers from 1 to n.
You want to find P(1 ∙ 3 ∙ 5 ∙ 7 . . . . . 99)
which is obviously
99! - P (2 ∙ 4 ∙ 6 ∙ 8 . . . . . 98)
= 99! - P(1 ∙ 2 ∙ 3 ∙ 4 ∙ . . . . .49) ∙ 2^49 . . . . . (take out a factor of 2 from each of 2, 4, 6, etc.)
= 99! - (49!) (2^49)
You want to find P(1 ∙ 3 ∙ 5 ∙ 7 . . . . . 99)
which is obviously
99! - P (2 ∙ 4 ∙ 6 ∙ 8 . . . . . 98)
= 99! - P(1 ∙ 2 ∙ 3 ∙ 4 ∙ . . . . .49) ∙ 2^49 . . . . . (take out a factor of 2 from each of 2, 4, 6, etc.)
= 99! - (49!) (2^49)
Answered by
1
(n-1)/2
n=99
99-1/2= 49
n=99
99-1/2= 49
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