Sequences and S...

Pam likes the numbers 1689 and 6891. Knowing this, which pair of numbers will she like among the ones below?

Function f(x)=$$\left| {x - 2} \right| - 2\left| {x - 4} \right|\,is$$ discontinous at:

$$67,84,95,.,133,158$$

How many committee of five persons with a chairperson can be selected from $$12$$ persons.

Number of identical terms in the sequence $$2, 5, 8, 11,$$___ upto $$100$$ terms and $$3, 5, 7, 9, 11$$____ upto $$100$$ terms are

Find the value of ?. 

The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet ?

If $$P,\,Q$$ be two arithmetic means between $$\dfrac{1}{3}$$ and $$\dfrac{1}{24}$$, then their value are 

Find the area of the triangle formed by joining the mid points of the sides of the triangle whose vertices are $$(0.-1), (2, 1) and (0, 3)$$

How many $$3$$-digit even numbers can be formed from the digits $$1, 2, 3, 4, 5, 6$$ if the digits can be repeated?