Out of 52 cards, 5-card combinations have to be made in such a way that in
each selection of 5 cards, there is exactly one king. We know that in 52 cards, there are 4 kings.
Out of 4 kings, 1 king can be selected in \( ^4C_1\) ways.
Out of the remaining 48 cards, 4 cards can be selected in \( ^{48}C_4\) ways
Therefore, number of 5-card combinations = \( ^4C_1\times ^{48}C_4\) ways.
Answered by Pragya Singh | 1 year agoHow many words each of 3 vowels and 2 consonants can be formed from the letters of the word INVOLUTE?
Find the number of permutations of n distinct things taken r together, in which 3 particular things must occur together.
How many words, with or without meaning can be formed 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 ?
There are 10 persons named P1, P2, P3 …, P10. Out of 10 persons, 5 persons are to be arranged in a line such that is each arrangement P1 must occur whereas P4 and P5 do not occur. Find the number of such possible arrangements.
How many different words, each containing 2 vowels and 3 consonants can be formed with 5 vowels and 17 consonants?