Embibe Experts Solutions for Chapter: Permutation and Combination, Exercise 1: JKCET 2019

There is a set $P$ of ordered pairs in which each pair has a vowel as first element and a consonant as second element. It is given that $R=2^{20}.$ How many elements will be there in power set of $P?$

The number of all positive odd divisors of $17500$ is

A bag contains $2$ white marbles, $3$ black marbles and $4$ red marbles. In how many ways a group of $3$ marbles can be drawn from the box so that at least one black marble is always included in that group?

Out of $6$ consonants and $3$ vowels from the standard English alphabets, how many words or strings that consist of $2$ consonants and $2$ vowels(without repetition of any alphabet) can be formed?

What is the number of different values of the products that can be done using two or more of the numbers $3, 4, 5$ and $7 ?$ (A number can be used at most once)

Out of $4$ symbols, $5$ letters and $3$ numbers, how many strings can be formed each containing $3$ letters, $2$ symbols and beginning with a number?