Advertisements
Advertisements
प्रश्न
A code word is formed by two distinct English letters followed by two non-zero distinct digits. Find the number of such code words.
Advertisements
उत्तर
There are total of 26 alphabets.
A code word contains 2 English alphabets.
∴ 2 alphabets can be filled in 26P2
= `(26!)/((26-2)!)=(26xx25xx24!)/(24!)` = 650 way
Also, alphabets to be followed by two distinct non-zero digits from 1 to 9 which can be filled in
9P2 = `(9!)/((9-2)!)=(9xx8xx7!)/(7!)` = 72 ways
∴ Total number of a code words = 650 × 72 = 46800
APPEARS IN
संबंधित प्रश्न
How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are allowed?
Determine the number of arrangements of letters of the word ALGORITHM if vowels are always together.
Determine the number of arrangements of letters of the word ALGORITHM if consonants are at even positions.
Determine the number of arrangements of letters of the word ALGORITHM if O is the first and T is the last letter.
Find the number of 4-digit numbers that can be formed using the digits 1, 2, 4, 5, 6, 8 if digits cannot be repeated.
Find the number of 6-digit numbers using the digits 3, 4, 5, 6, 7, 8 without repetition. How many of these numbers are divisible by 5?
Find the number of ways in which 5 letters can be posted in 3 post boxes if any number of letters can be posted in a post box.
A code word is formed by two distinct English letters followed by two non-zero distinct digits. Find the number of such code words that end with an even digit.
How many 4 letter words can be formed using letters in the word MADHURI if letters can be repeated
Determine the number of arrangements of letters of the word ALGORITHM if consonants are at even positions.
In a group photograph, 6 teachers are in the first row and 18 students are in the second row. There are 12 boys and 6 girls among the students. If the middle position is reserved for the principal and if no two girls are together, find the number of arrangements.
Find the number of ways so that letters of the word HISTORY can be arranged as begin and end with vowel
Find the number of ways so that letters of the word HISTORY can be arranged as begin with S and end with T
Find the number of 4-digit numbers that can be formed using the digits 1, 2, 4, 5, 6, 8 if digits cannot be repeated
Find the number of 6-digit numbers using the digits 3, 4, 5, 6, 7, 8 without repetition. How many of these numbers are not divisible by 5
In how many ways can 5 different books be arranged on a shelf if 2 books are never together
3 boys and 3 girls are to sit in a row. How many ways can this be done if there is a girl at each end
3 boys and 3 girls are to sit in a row. How many ways can this be done if boys and girls are at alternate places
All the words that can be formed using alphabets A, H, L, U and R are written as in a dictionary (no alphabet is repeated). Rank of the word RAHUL is ______.
