Permutation and CombinationHard
Question
If n identical dice are rolled, then no. of possible out comes are -
Options
A.6n
B.
C.(n + 5)C5
D.None of these
Solution
Let i appears on ai dice i = 1, 2, 3, 4, 5, 6
so no. of out comes is equal to no. of solution of a1 + a2 + a3 + a4 + a5 + a6 = n = (n + 5)C5
so no. of out comes is equal to no. of solution of a1 + a2 + a3 + a4 + a5 + a6 = n = (n + 5)C5
Create a free account to view solution
View Solution FreeMore Permutation and Combination Questions
The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an Engl...The number of ways of arranging the letters AAAAA, BBB, CCC, D, EE & F in a row if no two ′C′s are together ...A man has 7 relatives, of which 4 are ladies and 3 gents, his wife has also 7 relatives, of which 3 ladies and 4 gents. ...Let g(x) = 2f(x/2) + f(1 - x) and f″(x) < 0 in 0 ≤ x ≤ 1 then g(x)...Number of words that can be made with the letters of the word ″GENIUS″ if each word neither begins with G no...