Advertisements
Advertisements
प्रश्न
A coin is tossed 8 times, how many different sequences containing six heads and two tails are possible?
Advertisements
उत्तर
When tossing a coin, the possible outcomes are head
and tail.
Total number of outcomes of heads and tails on tossing a coin 8 times is
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 28
The number of ways of getting six heads and 2 tails
= `(8!)/(6! xx 2!)`
= `(8 xx 7 xx 6!)/(6 xx 2 xx 1)`
= 4 × 7
= 28 ways
APPEARS IN
संबंधित प्रश्न
How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?
In how many ways can the letters of the word PERMUTATIONS be arranged if the words start with P and end with S.
Find x in each of the following:
A customer forgets a four-digits code for an Automatic Teller Machine (ATM) in a bank. However, he remembers that this code consists of digits 3, 5, 6 and 9. Find the largest possible number of trials necessary to obtain the correct code.
How many numbers of four digits can be formed with the digits 1, 2, 3, 4, 5 if the digits can be repeated in the same number?
Write the remainder obtained when 1! + 2! + 3! + ... + 200! is divided by 14 ?
The number of arrangements of the word "DELHI" in which E precedes I is
The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is
The number of different ways in which 8 persons can stand in a row so that between two particular persons A and B there are always two persons, is
If nP4 = 12(nP2), find n.
Find the number of arrangements that can be made out of the letters of the word “ASSASSINATION”.
Evaluate the following.
`(3! + 1!)/(2^2!)`
The total number of 9 digit number which has all different digit is:
The number of ways to arrange the letters of the word “CHEESE”:
A test consists of 10 multiple choice questions. In how many ways can the test be answered if each question has four choices?
8 women and 6 men are standing in a line. How many arrangements are possible if any individual can stand in any position?
In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together?
The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently is ______.
In a certain city, all telephone numbers have six digits, the first two digits always being 41 or 42 or 46 or 62 or 64. How many telephone numbers have all six digits distinct?
In the permutations of n things, r taken together, the number of permutations in which m particular things occur together is `""^(n - m)"P"_(r - m) xx ""^r"P"_m`.
