Advertisements
Advertisements
Question
How many 4 letter words can be formed using letters in the word MADHURI if letters cannot be repeated?
Solution
When repetition of letters is not allowed, the number of 4-letter words formed from the letters of the word MADHURI is
∴ 7P4 = `(7!)/((7-4)!)=(7xx6xx5xx4xx3!)/(3!)` = 840
∴ 840 four-letter words can be formed when the repetition of letters is not allowed.
APPEARS IN
RELATED QUESTIONS
Find n, if nP6 : nP3 = 120: 1.
Find m and n if `""^(("m" + "n"))"P"_2` = 56 and `""^(("m" - "n"))"P"_2` = 12
Find r if `""^12"P"_("r" - 2): ""^11"P"_("r" - 1)` = 3:14
Find the number of arranging 11 distinct objects taken 4 at a time so that a specified object always occurs.
Find the number of arranging 11 distinct objects taken 4 at a time so that a specified object never occurs.
Find the number of permutations of letters of the following word: SHANTARAM
Find the number of permutations of letters of the following word: REPRESENT
Find the number of permutations of letters of the following word: COMBINE
How many distinct 5 digit numbers can be formed using the digits 3, 2, 3, 2, 4, 5
Find n, if nP6 : nP3 = 120 : 1
Find m and n, if (m+n)P2 = 56 and (m-n)P2 = 12
A code word is formed by two different English letters followed by two non-zero distinct digits. Find the number of such code words. Also, find the number of such code words that end with an even digit.
Find the number of arranging 11 distinct objects taken 4 at a time so that a specified object always occurs
Find the number of arranging 11 distinct objects taken 4 at a time so that a specified object never occurs
