Question
If the letters of the word PLAYERS be arranged at
random, what is the probability that there are exactly five letters between P and S? ÂSolution
S = 7! = 7 × 5 × 4 × 3 × 2 × 1 = 5040 Let E= event of getting exactly fiveletters between P and S n(E) = 5! = 120 ∴ P (E) = (n(E))/(n(S)) = (120 )/5040 =  1/42
Simplify the expression -:
In 2023, Department D overspent by 10% of its allocated budget. What is the total expenditure of Department D after the overspending?
I). 2p 2  – 13p + 21 = 0
II). q 2  – 10q + 24 = 0
In a circle, two tangents PA and PB are drawn from an external point P such that the angle ∠APB = 60°. If the radius of the circle is 10 cm, find th...
13   7   8   13.5   29    ?    228
A man travels the first part of his journey at a speed of 40 km/h and the second part at a speed of 60 km/h. What is the average speed of the man?
Let f:R→R be defined as f(x) = cosx + sinx. Then the range of f(x) is:Â
A group of 30 students has an average score of 60 in an exam. If 5 more students join the group and their average score is 70, find the new average scor...
Which tab is NOT included in MS-PowerPoint?
Find the distance between points A(2, 3) and B(7, 8).