Express` 5 + 7`n in words in at least two different ways.

Express the HCF of 468 and 222 as 468 x+222 y where x ,\ y are integers in two different ways.

How many natural numbers are there with the property that they can be expressed as the sum of the cubes of two natural numbers in two different ways.

The number of positive integers with the property that they cann be expressed as the sum of the cubes of 2 positive integers in two different ways is

Out of 7 men and 4 women,a committee of 5 is to be selected the number of ways in which this can be done so as to include at least two women is

There are just two ways in which 5 may be expressed as the sum of two different positive (non-zero) integers, namely 5 = 4 + 1= 3 + 2 . In how many ways, 9 can be expressed as the sum of two different positive (non-zero) integers? 3 (b) 4 (c) 5 (d) 6

Seven different letters are given.Then the number of ways in which words of 5 letters can be formed such that at least one of the letters is repeated is (a) 7Ps(c)57 (b) 14287 (d) 75

A box contain 5 different red and 6 different white balls. In how many ways can 5 balls be selected so that there are at least two balls of each colour ?

A box contains 5 different res and 6, different whit balls.In how many ways can 6 balls be selected so that there are at least two balls off each color?