two number cubes are rolled simultaneously. what is the probability that the difference of the two numbers on the number cubes i

Two number cubes are rolled simultaneously. What is the probability that the difference of the two numbers on the number cubes is 2? => 1 9 or 5 6 or 1 6 or 2 ..

>Here, a and b may be any numbers. Pascal's triangle The coefficients of various terms in (a+b) n for different values of n follows the pattern given below: General term For 0 < r < n, T r+1 in the expression of (a + b) n is given by T r+1 = n C r a n-r b r . (r + 1) t h t..

Question 1 - Question: Show that the sum of the cubes of any number of consecutive integers is divisible by the sum of those integers. Answer: Let the consecutive integers be (n + 1), (n + 2), (n + 3),....,(n + m) Sum of the cubes of integers = S 1 (n+m) and ..

If x be numerically so small that its cube and higher powers may be neglected, then find the binomial expansions for: i) (1 + 2x) - 4 ..

Some Applications of Binomial Theorem for Fractional Index - If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (approximat..

The ratio obtained by taking the cube root of the given ratio a : b is called sub-triplicate ratio. is sub-triplicate ratio of a : b. For example the sub-triplicate ratio of 8a 3 : 27b 6 is or 2a : 3b 2 . Find the compounded ratio of the duplicate ratio of ..

The relative complement of set B in set A is the complement of B in ..

Question: For the given sequence, suggest possible next three terms and find the general term. -3, 1, 5,---- Answer: First term = -3, Common difference = 1-(-3) = 4 = 5 - 1 Next three terms are 5 + 4 = 9, 9 + 4 = 13, 13 + 4 = 17 General term is = a + (n - 1)d = -3 + (n - 1)4 =..

The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a se..

The difference between these two values is called the absolute error. Absolute Error = Original number - Approximated number The ratio of the absolute error and the original number expressed in percentage form is called percentage relative err..