An ordinary cubical dice having six faces marked with alphabets A, B, C, D, E, and F is thrown `n` times and the list of `n` alphabets showing up are noted. Find the total number of ways in which among the alphabets A, B, C D, E and F only three of them appear in the list.

An unbiased dice, with faces numbered 1,2,3,4,5,6, is thrown n times and the list of n numbers shown up is noted. Then find the probability that among the numbers 1,2,3,4,5,6 only three numbers appear in this list.

A childhas a die whose six faces show the letters A, B, C, D, E and F. The die is thrown once. What is the probability of getting (i) A? (ii) D

Find the number of permutations of letters a ,b ,c ,d ,e ,f,g taken all together if neither beg nor cad pattern appear.

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

D , E ,a n dF are the middle points of the sides of the triangle A B C , then (a) centroid of the triangle D E F is the same as that of A B C (b) orthocenter of the tirangle D E F is the circumcentre of A B C

State which of the following is total number of relations from set A = {a,b,c) to set B = {d,e} is……

State which of the following is total number of relations from set A={a,b,c} to set B ={d,e} is

Total number of six-digit number in which all and only odd digits appear is a. 5/2(6!) b. 6! c. 1/2(6!) d. none of these

There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2, and one face marked with 3. Die B has one face marked with 1, two faces marked with 2, and three faces marked with 3. Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E, then P(E) is minimum when x equals to

The number of ways of arranging six person (having A, B, C and D among them) in a row so that A, B, C and D are always in order ABCD (not necessarily together) is