Permutations and Combinations
There are unlimited number of identical balls of four different colors. How many arrangements of at most 8 balls in a row can be made by using them?
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How many six-digit numbers are there in which no digit is repeated, even digits appear at even places,odd digits appear at odd places and the number is divisible by 4 ?
Evaluate (i) 8! ii) 4!−3!
In how many ways can the letters of the word PERMUTATIONS be arranged if the.i) Words start with P and end with S.ii) vowels are all togetheriii) there are always 4 letters between P and S
The number of words from the letters of the word ′BHARAT′ in which B and H will never come together, is
A bag contains Rs. 112 in the form of 1-rupee, 50-paise and 10-paise coins in the ratio 3:8:10. What is the number of 50-paise coins?
Six cards are drawn one by one from a set of unlimited number of cards, each card is marked with numbers −1,0, or 1. Number of different ways in which they can be drawn if the sum of the numbers shown by them vanishes is
Given n pairs of gloves, the number of ways can each of n persons take a right handed and a left handed glove without taking a pair is
The sum of all four-digit numbers that can be formed by using the digits 2,4,6,8 (when repetition of digits is not allowed) is