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7. Permutations and Combinations
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Q5 of 42 Page 156

How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 and 9 which are divisible by 10 and no digit is repeated?

The number is divisible by 10 if the unit place has 0 in it.

The 6-digit number is to be formed out of which unit place is fixed as 0


The remaining 5 places can be filled by 1, 3, 5, 7 and 9


Here n = 5


And the numbers of choice available are 5


so, the total ways in which the rest the places can be filled are 5P5



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3

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(i) exactly 3 girls ? (ii) atleast 3 girls ? (iii) atmost 3 girls ?

4

If the different permutations of all the letter of the word EXAMINATION are listed as in a dictionary, how many words are there in this list before the first word starting with E?

6

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7

In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?

Questions · 42
7. Permutations and Combinations
1 2 3 4 5 6 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11
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