Ten persons amongst whom are A,B and C are to speak at a function the number of ways in which it can be done if A wants to speak before B and B wants to speak before C is

Five speakers A,B,C,D and E will speark at a meeting. In how many ways can they take their turrns if (i) A speask immediately before B, and (ii) B does not speak befor A?

The number of ways in which we can get a score of 11 by throwing three dice is a. 18 b. 27 c. 45 d. 56

Four speakers will address a meeting where speaker Q will always speak after speaker p .Then the number of ways in whcich the prder of speakers can be prepared is -

Total number of relations that can be defined on set A = {a,b,c} is ____

In a conference 10 speakers are present. If S_1 wants to speak before S_2a n dS_2 wants to speak after S_3, then find the number of ways all the 10 speakers can give their speeches with the above restriction if the remaining seven speakers have no objection to speak at any number.

If A=30^0, a=7,and b=8 in A B C , then find the number of triangles that can be constructed.

Column I, Column II The number of five-digit numbers having the product o digit 20 is, p. > 70 A closest has five pairs of shoes. The number of ways in which four shoes can be drawn from it such that there will be no complete pair is, q. <60 Three ladies have each brought their one child for admission to a school. The principal wants to interview the six persons one by one subject to the condition that no mother is interviewed before her child. The number of ways in which interview can be arranged is, r. in (50 ,110) The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is, s. in (40 ,70)

A,B,C,D develop 18 items. Five items jointly by A and C , four items by A and D , four items by B and C and five items by B and D . The number of ways of selecting eight ites out of 18 so that the selected ones belong equally to A,B,C,D is

On her vacations Veena visits four cities(A, B, C and D) in random order. What is the probability that she visits (i) A before B? (ii) A before B and B before C? (iii) A fist and B last? (iv) A either first or second? (v) A just before B?

There are three stations A, B and C . If five routes for going from station A to station B and four routes for going from station B to station C, than find the number of different ways through which a person can go from A to C via B.