The are `8` events that can be schedules in a week, then
The total number of ways that these `8` event are scheduled on exactly `6` days of a week is
A. `210xx6!`
B. `7!xx266`
C. `56xx7!`
D. `210xx7!`
Correct Answer - A::C
Given equation is `x^(2) + 2x sin(cos^(-1) y) + 1 =0`
Since x is real, `D ge 0`. Therefore,
`4(sin(cos^(-1)y))^(2) -4 ge 0`
or `(sin(cos^(-1)y))^(2) ge 1`...
(a) Ovarian event from 13-15 days of one set of menstrual cycle, a mature red ovum (egg cell) is released. Ovum covered by a number of layer and a yellow...
Correct Answer - 2
Here `P(E)=1/2and P(F_(k))=""^(n)C_(k).(1)/(2^(n))`
Also, `P(EnnF_(k))=p` (exactly k heads are obtained and head obtained in first filp)
`=1/2""^(n-1)C_(k-1)((1)/(2))^(n-1)`
Events E and `f_(k)` are independent. Therefore,
`P(EnnF_(k))=P(E).P(F_(k))`
`or ""^(n-1)C_(k-1)xx(1)/(2^(n))=1/2xx""^(n)C_(k)(1)/(2^(n))`...
Correct Answer - B
`(b)` For `1^(st)` and event there are `7` ways
`2^(nd)` event there are `7` ways
`8^(th)` event there are `7` ways
`implies` Total no of ways `=7^(8)`.