Given 5 different green dyes, four different blue dyes and three different red dyes, the number of combinations of dyes which can be chosen taking at least one green and one blue dye is
(A) 3600
(B) 3720
(C) 3800
(D) 3600

The number of permutations of n different objects, taken r at a line, when repetitions are allowed, is ______.

The number of different words that can be formed from the letters of the word INTERMEDIATE such that two vowels never come together is ______.

Three balls are drawn from a bag containing 5 red, 4 white and 3 black balls.The number of ways in which this can be done if at least 2 are red is ______

The number of six-digit numbers, all digits of which are odd is ______.

In a football championship, 153 matches were played . Every two teams played one match with each other. The number of teams, participating in the championship
is ______.

The total number of ways in which six ‘+’ and four ‘–’ signs can be arranged in a line such that no two signs ‘–’ occur together is ______.

A committee of 6 is to be chosen from 10 men and 7 women so as to contain atleast 3 men and 2 women. In how many different ways can this be done if two particular women refuse to serve on the same committee.

A box contains 2 white balls, 3 black balls and 4 red balls. The number of ways  threeballs be drawn from the box if at least one black ball is to be included in the draw is ______.

Three letters can be posted in five letterboxes in 3^5 ways.

In a steamer there are stalls for 12 animals, and there are horses, cows and calves (not less than 12 each) ready to be shipped. They can be loaded in 3^12  ways.