If a+b+c =21 what is the total number of positive integral solutions?

More Questions from Permutation and Combination

• If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ?
• In how many different ways could couples be picked from 6 men and 9 women ?
• The number of sequences in which 4 players can sing a song, so that the youngest player may not be the last is ?
• In how many ways the word 'SCOOTY' can be arranged such that 'S' and 'Y' are always at two ends?
• A box contains 2 blue balls, 3 green balls and 4 yellow balls. In how many ways can 3 balls be drawn from the box, if at least one green ball is to be included in the draw?
• Out of 6 green ball, 4 blue ball, in how many ways we selectone or more balls ?
• If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is
• In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together?
• How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are never together.
• There are 5 novels and 4 biographies. In how many ways can 4 novels and 2 biographies can be arranged on a shelf ?

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