How many 5-digit positive integers exist the sum of whose digits are odd?
How many 5-digit positive integers exist the sum of whose digits are odd?
Six boxes are numbered 1, 2, 3, 4, 5 and 6. Each box must contain either a white
Six boxes are numbered 1, 2, 3, 4, 5 and 6. Each box must contain either a white ball or a black ball. At…
There are eight boxes of chocolates, each box containing distinct number of choc
There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways four of these…
In how many ways can 6 green toys and 6 red toys be arranged, such that 2 partic
In how many ways can 6 green toys and 6 red toys be arranged, such that 2 particular red toys are never together whereas…
In how many ways can seven friends be seated in a row having 35 seats, such that
In how many ways can seven friends be seated in a row having 35 seats, such that no two friends occupy adjacent seats?
There are five comics numbered from 1 to 5. In how many ways can they be arrange
There are five comics numbered from 1 to 5. In how many ways can they be arranged, so that part-1 and part-3 are never…
How many ways can 10 letters be posted in 5 post boxes, if each of the post boxe
How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?
The number of ways which a mixed double tennis game can be arranged amongst 9 ma
The number of ways which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in…
There are 2 brothers among a group of 20 persons. In how many ways can the group
There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that…
Ten coins are tossed simultaneously. In how many of the outcomes will the third
Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
a, b, c, d and e are five natural numbers. Find the number of ordered sets (a, b
a, b, c, d and e are five natural numbers. Find the number of ordered sets (a, b, c, d, e) possible such that…
A book-shelf can accommodate 6 books from left to right. If 10 identical books o
A book-shelf can accommodate 6 books from left to right. If 10 identical books on each of the languages A,B,C and D are available,…