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Practice Questions Permutations & Combinations

New kid on the Block

Posted on
14 Sep 2011 14:25:27 IST
Posts: 14
14 Sep 2011 14:25:27 IST
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Practice Questions Permutations & Combinations
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Algebra , academic , Mathematical Logic , Maths , Permutations and Combinations

1.Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

2.In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

Blazing goIITian

Joined: 27 Dec 2010 11:39:18 IST
Posts: 1508
21 Sep 2011 15:09:13 IST
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i am not good at it.

but i think this should work for the first one.

(1)

7C3*4C2

Blazing goIITian

Joined: 27 Dec 2010 11:39:18 IST
Posts: 1508
21 Sep 2011 15:12:41 IST
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CORPORATION.

there are 5 vowels namely 3 Os , 1 A and 1 i,

taking them as a letter we get 7 letters.

we can arrange them in 5!/(3!) * 7!/(2!)ways.

notice there are 3 Os and 2 Rs.

New kid on the Block

Joined: 10 Sep 2011 09:22:44 IST
Posts: 9
23 Sep 2011 09:13:55 IST
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(1) 7c3x4c2(2)3!.9!whole divided by 2!.2!

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