Math Answers

Wandana is going to toss a coin eight times. In how many ways can she get five

heads and three tails

Suppose that a saleswoman has to visit eight different cities. She must begin her

trip in a specified city, but she can visit the other seven cities in any order she

wishes. How many possible orders can the saleswoman use when visiting these

cities?

In how many ways can 10 different examination papers be scheduled so that

(i) the best and the worst always come together?

(ii) the best and the worst never come together?

There are 10 stalls for animals in an exhibition. Three animals; lion, pussycat

and horse are to be exhibited. Animals of each kind are not less than 10 in

number. What is the possible number of ways of arranging the exhibition?

There are 10 stalls for animals in an exhibition. Three animals; lion, pussycat

and horse are to be exhibited. Animals of each kind are not less than 10 in

number. What is the possible number of ways of arranging the exhibition?

How many numbers of three digits can be formed with the digits 1, 2, 3, 4 and 5

if the digits in the same number are not repeated? How many such numbers are

possible between 100 and 10,000

A man, a woman, a boy, a girl, a dog, and a cat are walking down a long and

winding road one after the other.

(a) In how many ways can this happen?

(b) In how many ways can this happen if the dog comes first?

(c) In how many ways can this happen if the dog immediately follows the boy?

(d) In how many ways can this happen if the dog (and only the dog) is between

the man and the boy?

How many different sequences, each of length r, can be formed using elements

from A if

(a) elements in the sequence may be repeated?

(b) all elements in the sequence must be distinct?

In how many ways can the letters of the English alphabet be arranged so that

there are exactly ten letters between a and z?

There are 7! = 5040 ways in which seven people can form a line. In how many

ways can seven people form a circle