Question

*Permutations & Combinations 5 & 6*
Total marks : 26


1. Find the number of different 8 letter arrangements that can be made from the letters of the word DAUGHTER so that
i) all vowels occur together
ii) all vowels do not occur together
(2 + 2)


2. Find the number of arrangements of the letters of the word INDEPENDENCE. (2)
In how many of these arrangements
i)do the words start with p
ii) do all the vowels always occur together
iii) do the vowels never occur together
iv) do the words begin with I and end in P
(8)


3. What is the number of ways of choosing 4 cards from a pack of 52 playing cards? (2)
In how many of these
i)four cards are of the same suit
ii) 4 cards belong to four difference suits
iii) are face cards
iv) 2 are red cards and 2 are black cards
v) cards are of the same colour
(10)​

Answer 1

Answer:

• hello bro (Brother) good evening