Advertisements
Advertisements
Question
A coin is tossed 8 times, how many different sequences containing six heads and two tails are possible?
Advertisements
Solution
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
RELATED QUESTIONS
Evaluate 8!
Evaluate `(n!)/((n-r)!)` when n = 6, r = 2
Find x in each of the following:
Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.
Evaluate each of the following:
8P3
Evaluate each of the following:
P(6, 4)
The number of words from the letters of the word 'BHARAT' in which B and H will never come together, is
The number of ways to arrange the letters of the word CHEESE are
If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is
Find x if `1/(6!) + 1/(7!) = x/(8!)`
How many 6-digit telephone numbers can be constructed with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if each numbers starts with 35 and no digit appear more than once?
If n is a positive integer, then the number of terms in the expansion of (x + a)n is:
How many strings can be formed from the letters of the word ARTICLE, so that vowels occupy the even places?
8 women and 6 men are standing in a line. In how many arrangements will no two men be standing next to one another?
In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together
A coin is tossed 8 times, how many different sequences of heads and tails are possible?
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?
If the letters of the word FUNNY are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, find the rank of the word FUNNY
If all permutations of the letters of the word AGAIN are arranged in the order as in a dictionary. What is the 49th word?
8-digit numbers are formed using the digits 1, 1, 2, 2, 2, 3, 4, 4. The number of such numbers in which the odd digits do no occupy odd places is ______.
