Lecture 3

There are 3 doors to a lecture room. In how many ways can lecturer enter and leave the room ?

There are 3 doors to a lecture room. In how many ways can lecturer enter the room from one door and leave from another door?

There are 5 doors to a lecture room. Two are red and the others are green. In how many ways can a lecturer enter the room and leave the room from different colored doors?

In a biology lecture, the teacher was dictating the organelles of a cell as endoplasmic reticulum, mitochondria, nucleus, ribosome, centriole and centrosome. Which cell was she referring to?

8 protons and 8 lectures are separately at rest. How much energy will be released if we form _^16O_8 nucleus? Given: Mass of _^16O_8 atom = 15.994915u Mass of neutron =1.008665u Mass of hydrogen atom = 1.007825u

The position of the top corner of the lecture room was required. To find this a theodolite was set up as in the figure below. The distance to the side wall, along the x-axis is 7 m, and following angles were measured AOX = 60^(@), AOY= 45^(@) Calculate the coordinates of the corner realtive to the position of theodolite.

Avinash works as a lecturer and earns Rs. 12000 per month. His wife who is a doctor earns Rs. 15000 per month. Find the following ratios: Avinash’s income to the income of his wife. Avinash’s income to their total income.

The I.Sc lecture theatre of a college is 40 ft wide and has door at a corner.A teacher enters t 12.00 noon through the door and makes 10 rounds along the 40 ft wall back and forth during the eriod and finally leaves the class - room at 12.50 p.m. through the samedoor. compute his average speed and average velocity.

Seven different lecturers are to deliver lectures in seven perday. A, B and C are three oftne lectures. The number of ways in which a routine for theday canr be made such that A delivers his lecture before B and B before C, is

Factorize: (a-3b)^3+(3b-c)^3+(c-a)^3