Practice Decimal Fraction – A set of mugs consists of 5 plastic mugs each of a different design and 2 glass mugs each of a different design. In how many ways can these 7 mugs be arranged in a row if the glass mugs are separated from each other?
Practice Decimal Fraction – Given a set of letters {a, b, c, d, e, f, g, h, i, j, k, l, m}, we can list out all permutations of these letters in lexicographic (dictionary) order. The first three permutations in this list are abcdefghijklm, abcdefghijkml and abcdefghijlkm and the last one is mlkjihgfedcba. What permutation would appear immediately after the following one in this lexicographically ordered list of permutations?
bcjameflkihgd
Practice Decimal Fraction – It is possible to pair up all the numbers from 1 to 70 so that the positive difference of the numbers in each pair is always the same. For example, one such pairing up is (1,2), (3,4), (5,6),. (69,70). Here the common on difference is 1. What is the sum of all
such common differences.
Practice Decimal Fraction – In how many ways can we give change for 100 using 1 rupee and 2 rupee coins? For example for 5 rs, we can give in three ways : (1,1,1,1,1) (1,1,1,2) (1,2,2)
Practice Decimal Fraction – In the IT department of backrub, the administrator password is changed every month. The team of administrator, spread across the globe, receive an 8 digits number via email. This number is to be prefixed with a single digit number and suffixed with a single digit number to get the actual password. The password is divisible by 11 and 8. If the team received 54218345 this month. Then which of the following pairs give valid prefix and
suffix respectively?
Practice Decimal Fraction – In how many ways can we give change for rs 100 using 1 rupee and 2 rupee coins? For example for 5 rs we can give three ways
(1,1,1,1) (1,1,1,2) )(,1,2,2)
Practice Decimal Fraction – A music talent show has 100 contestants and 10,000 viewers. Each viewer picks their top 5 performers. Any performer who is nominated by at least 20% of the viewers gets a prize. What is the maximum number of prizes that could be awarded?
Practice Decimal Fraction – You want to pick two distinct numbers from the set {1, 2, 3, 4}. In how many ways can you do this so that the product is even?
Practice Decimal Fraction – In a birthday party, there are 20 identical slices of cake that have to be distributed among 4 children. If every child is to get at least two slices, then in how many ways can this distribution be done?
Practice Decimal Fraction – How many number plates can be made if the number plates have two letters of the English alphabet (A-Z) followed by two digits (0-9) if the repetition of digits or alphabets is not allowed?
Practice Decimal Fraction – In how many different ways can the letters of the word “LEADING” be arranged in such a way that the vowels always come together.
Practice Decimal Fraction – 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
Practice Decimal Fraction – LEADING” arrange it in such a way that atleast two vowels always together ?
Practice Decimal Fraction – Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 2 flavors from 6 flavors. In how many ways we can select?
Practice Decimal Fraction – There are four hotels in a town. 3 men check into hotels in a day. In how many ways all of them can check into different hotels ?