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
Evaluate `(n!)/((n-r)!)`, when n = 9, r = 5
How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?
Find r if `""^5P_r = 2^6 P_(r-1)`
Find r if `""^5P_r = ""^6P_(r-1)`
Find x in each of the following:
Which of the following are true:
(2 +3)! = 2! + 3!
Write the number of arrangements of the letters of the word BANANA in which two N's come together.
The number of permutations of n different things taking r at a time when 3 particular things are to be included is
How many six-digit telephone numbers can be formed if the first two digits are 45 and no digit can appear more than once?
Find x if `1/(6!) + 1/(7!) = x/(8!)`
Evaluate the following.
`(3! xx 0! + 0!)/(2!)`
For all n > 0, nC1 + nC2 + nC3 + …… + nCn is equal to:
The total number of 9 digit number which has all different digit is:
Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?
Find the distinct permutations of the letters of the word MISSISSIPPI?
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
In how many ways can 5 children be arranged in a line such that two particular children of them are always together
There are 10 persons named P1, P2, P3, ... P10. Out of 10 persons, 5 persons are to be arranged in a line such that in each arrangement P1 must occur whereas P4 and P5 do not occur. Find the number of such possible arrangements.
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 |
If m+nP2 = 90 and m–nP2 = 30, then (m, n) is given by ______.
