#4709. After a get-together, evey person present shakes hand of every other person. If there were 120 handshakes in all, how many persons were present in the party?

]]>#4708. If the letters of the word JITEN are permuted in all possible ways and the words thus obtained are arranged alphabetically, what is the rank of JITEN?

]]>#4707. A question paper has two parts P and Q, each containing 10 questions. If a student needs to choose 7 from part P and 5 from part Q, in how many ways can it be done?

]]>#4706. The letters of the word LABEL are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABEL?

]]>#4705. How many 3 letter words with or without meaning, can be formed out of the letters of the word CONSUMPTIVELY, if repetition of letters is not allowed?

]]>#4704. In how many different ways can the letters of the word PRACTICAL be arranged so that the vowels always come together?

]]>#4703. In how many different ways can the letters of the word RETAIL be arranged in such a way that the vowels occupy only the odd positions?

]]>#4702. A box contains 4 black balls and 5 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

]]>#4701. In how many ways can a committee, consisting of 5 men and 6 women be formed from 7 men and 8 women?

]]>#4700. In how many different ways can the letters of the word COSMOPOLIS be arranged such that the vowels always come together?

]]>#4699. In how many different ways can the letters of the word PERMUTATION be arranged such that the vowels always come together?

]]>#4698. In how many different ways can the letters of the word READING be arranged in such a way that the vowels always come together?

]]>#4697. From a group of 6 men and 5 women, four persons are to be selected to form a committee so that at least 2 men are in the committee. In how many ways can it be done?

]]>#4696. How many 3-digit numbers divisible by 5, can be formed from the digits 1, 2, 3, 4, 5, and 9 (none of the digits is repeated)?

]]>#4695. Kate draws a polygon of n sides. The polygon has 44 diagonals. Find the value of n.

]]>