Advertisements
Advertisements
प्रश्न
Find the number of ways in which one can post 5 letters in 7 letter boxes ?
Advertisements
उत्तर
Each of the 5 letters can be posted in any one of the 7 letter boxes.
∴ Required number of ways of posting the letters = `7xx7xx7xx7xx7=7^5`
APPEARS IN
संबंधित प्रश्न
if `1/(6!) + 1/(7!) = x/(8!)`, find x
Find n if n – 1P3 : nP4 = 1 : 9
Find r if `""^5P_r = ""^6P_(r-1)`
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 of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?
Find x in each of the following:
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 ?
In how many ways can 7 letters be posted in 4 letter boxes?
Evaluate each of the following:
8P3
Evaluate each of the following:
Evaluate each of the following:
P(6, 4)
Write the number of arrangements of the letters of the word BANANA in which two N's come together.
Write the remainder obtained when 1! + 2! + 3! + ... + 200! is divided by 14 ?
Write the number of numbers that can be formed using all for digits 1, 2, 3, 4 ?
How many numbers greater than 10 lacs be formed from 2, 3, 0, 3, 4, 2, 3 ?
The number of ways to arrange the letters of the word CHEESE are
The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is
In a room there are 12 bulbs of the same wattage, each having a separate switch. The number of ways to light the room with different amounts of illumination is
In how many ways 5 boys and 3 girls can be seated in a row, so that no two girls are together?
- In how many ways can 8 identical beads be strung on a necklace?
- In how many ways can 8 boys form a ring?
The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for all n ∈ N is:
If n is a positive integer, then the number of terms in the expansion of (x + a)n is:
For all n > 0, nC1 + nC2 + nC3 + …… + nCn is equal to:
8 women and 6 men are standing in a line. In how many arrangements will no two men be standing next to one another?
How many strings are there using the letters of the word INTERMEDIATE, if the vowels and consonants are alternative
Find the sum of all 4-digit numbers that can be formed using digits 1, 2, 3, 4, and 5 repetitions not allowed?
Choose the correct alternative:
If `""^(("n" + 5))"P"_(("n" + 1)) = ((11("n" - 1))/2)^(("n" + 3))"P"_"n"`, then the value of n are
Three married couples are to be seated in a row having six seats in a cinema hall. If spouses are to be seated next to each other, in how many ways can they be seated? Find also the number of ways of their seating if all the ladies sit together.
Find the number of permutations of n distinct things taken r together, in which 3 particular things must occur together.
The number of 5-digit telephone numbers having atleast one of their digits repeated is ______.
The total number of 9 digit numbers which have all different digits is ______.
The number of different words that can be formed from the letters of the word INTERMEDIATE such that two vowels never come together is ______.
If 1P1 + 2. 2p2 + 3. 3p3 + ....... 15. 15P15 = qPr – s, 0 ≤ s ≤ 1, then q+sCr–s is equal to ______.
If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is ______.
Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Determine the number of words which have at least one letter repeated.
The number of permutations by taking all letters and keeping the vowels of the word ‘COMBINE’ in the odd places is ______.
