Advertisements
Advertisements
प्रश्न
- In how many ways can 8 identical beads be strung on a necklace?
- In how many ways can 8 boys form a ring?
Advertisements
उत्तर
- Number of ways 8 identical beads can be stringed by `((8 - 1)!)/2 = (7!)/2`
-
Number of ways 8 boys form a ring = (8 – 1)! = 7!
APPEARS IN
संबंधित प्रश्न
Compute `(8!)/(6! xx 2!)`
How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if
(i) 4 letters are used at a time,
(ii) all letters are used at a time,
(iii) all letters are used but first letter is a vowel?
How many 5-digit telephone numbers can be constructed using the digits 0 to 9. If each number starts with 67 and no digit appears more than once?
Evaluate each of the following:
Write the number of ways in which 6 men and 5 women can dine at a round table if no two women sit together ?
Write the number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys ?
If `""^(("n" – 1))"P"_3 : ""^"n""P"_4` = 1 : 10 find n
A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.
How will the answer change if each question may have more than one correct answers?
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`.
