Let the probability of arranging 8 boys `(B_1, B_2,..., B_8) and 5` girls linearly such that `B_1 and B_2` are not together and exactly four girls are together be p, then [99p] is equal to (where [.]denotes the greatest integer function)

If the solution set of [x]+[x+(1)/(2)]+[x-(1)/(3)]=8 is [(a,b) then (a+b) equals (where [1 denotes greatest integer function)

The value of B=int_1^100 [sec^-1x]dx, (where [ . ] denotes greatest integer function), is equal to

If lim_(x rarr1)(3-x+a[x-1]+b[x+1]) exists (where [ ] denotes the greatest integer function),then value of a + b

If 8 boys and 2 girls are to be seated in a row for a photograph, find the probability that the girls sit together.

The equation (x^(2))/(9-lambda)+(y^(2))/(4-lambda)=1 represents a hyperbola when a

If A={1,B} ,where B = {2,3} .Then, P(A) is equal to

A dice is weighted such that the probability of rolling the face numbered n is proportional to n^(2) (n = 1, 2, 3, 4, 5, 6). The dice is rolled twice, yielding the number a and b. The probability that a gt b is p then the value of [2//p] (where [ . ] represents greatest integer function) is _______.