English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

A coin is tossed 8 times, how many different sequences of heads and tails are possible? - Mathematics

Advertisements
Advertisements

Question

A coin is tossed 8 times, how many different sequences of heads and tails are possible?

Sum

Solution

A coin on tossing has two outcomes.

Tossing a coin once number of outcomes = 2

∴ Tossing a coin 8 times number of outcomes = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 28

∴ The different sequences of heads and tails are 28

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Combinatorics and Mathematical Induction - Exercise 4.2 [Page 178]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 4 Combinatorics and Mathematical Induction
Exercise 4.2 | Q 13. (i) | Page 178

RELATED QUESTIONS

Evaluate `(n!)/((n-r)!)` when  n = 6, r = 2 


How many 4-digit numbers are there with no digit repeated?


Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?


Find r if `""^5P_r = 2^6 P_(r-1)`


How many numbers of six digits can be formed from the digits 0, 1, 3, 5, 7 and 9 when no digit is repeated? How many of them are divisible by 10 ?


How many natural numbers less than 1000 can be formed from the digits 0, 1, 2, 3, 4, 5 when a digit may be repeated any number of times?


Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.


Find the number of ways in which one can post 5 letters in 7 letter boxes ?


Evaluate each of the following:

10P

The number of five-digit telephone numbers having at least one of their digits repeated is


The number of arrangements of the letters of the word BHARAT taking 3 at a time is


How many five digits telephone numbers can be constructed using the digits 0 to 9 If each number starts with 67 with no digit appears more than once?


If `""^10"P"_("r" - 1)` = 2 × 6Pr, find r


Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?


A test consists of 10 multiple choice questions. In how many ways can the test be answered if each question has four choices?


Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many distinct 6-digit numbers are there?


The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently is ______.


Suppose m men and n women are to be seated in a row so that no two women sit together. If m > n, show that the number of ways in which they can be seated is `(m!(m + 1)!)/((m - n + 1)1)`


How many words (with or without dictionary meaning) can be made from the letters of the word MONDAY, assuming that no letter is repeated, if

C1 C2
(a) 4 letters are used at a time (i) 720
(b) All letters are used at a time (ii) 240
(c) All letters are used but the first is a vowel (iii) 360

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×