Dipesh Ghimire • 531 Reads

Fundamental Principle of Counting Let us consider the following problem. Dipesh has 3 pants and 2 shirts. How many different pairs of a pant and a shirt, can he dress up with? There are 3 ways in which a pant can be chosen because there are 3 pants available. Similarly, a shirt can be chosen in 2 ways. For every choice of a p...

Neha Yadav • 266 Reads

1.Permutationsc. Circular PermutationsGetting the same order only directionally-inversed, they can be regarded as the same and in this case the formula is divided by 2 i.e. 1/2(n-1)! d. Permutations of repeated thingsConsider, n number of objects taken r at a time where each object in n is allowed to repeat itself in r positi...

In a certain city there are n straight streets, such that every two streets intersect, and no three streets pass through the same intersection. The City Council wants to organize the city by designing the main and the side street on every intersection. Prove that this can be done in such way that if one goes along one of the streets, from ts beginning to its end, the intersections where this street is the main street, and the ones where it is not, will appear in alternating order.

Committee of 4 men and 3 women is to be formed from among 6 men and 8 women. But miss A refuses to be a member if Mr. D is a member. Then the number of ways in which the committee can be formed is :

a. 455

b. 540

c. 600

d. 840

( 6C4 * 8C3 ) - (5C3 * 7C2) = 630 😊Answer: Non of the above 🙃

If C(8,r) - C(7,3) = C(7,2) , then r =

a. 3

b. 3 or 5

c. 5 or 7

d. 7

In how many ways can eight people be seated in a round table if two people insist in sitting next to each other?

From 6 gentlemen and 4 ladies a committee of 5 is to be formed. In how many ways can this be done so as to include at least 3 ladies?

Thevalue of cos 5π is

(a) 0

(b) 1

(c) -1

(d) None of these

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