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An ordinary cubical dice having six face...

An ordinary cubical dice having six faces marked with alphabets A, B, C, D, E, and F is thrown `n` times and ht list of `n` alphabets showing p 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.

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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.

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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 and each number appears at least once.

A,A,B,B,C,C,D,E,F are arranged in a row so that no two alike alphabets are together. Find number of such arrangment

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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

If the permutations of a, b, c, d, e taken all together be written dowan in alphabetical order as in dictionary and numbered then the rank of the permutation debac, is

If the permutations of a, b, c, d, e taken all together be written dowan in alphabetical order as in dictionary and numbered then the rank of the permutation debac, is

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