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How many 2 digit even numbers can be fo...

How many 2 digit even numbers can be formed from the digits 1, 2, 3, 4; 5 if the digits can be repeated?

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To find how many 2-digit even numbers can be formed from the digits 1, 2, 3, 4, and 5 with repetition allowed, we can follow these steps: ### Step 1: Identify the last digit To form an even number, the last digit (unit place) must be an even digit. From the given digits (1, 2, 3, 4, 5), the even digits are 2 and 4. **Possible choices for the last digit:** - 2 - 4 ...
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NCERT-PERMUTATIONS AND COMBINATIONS-SOLVED EXAMPLES
  1. How many numbers lying between 100 and 1000 can be formed with the di...

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  2. How many 4-digit numbers can be formed by using the digits 1 to 9 if ...

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  3. Find r, if 5^4Pr=6^5P(r-1).

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  4. Find the value of n such that (i) ^n P5=42^n P3,n >4 (ii) (n P4)/((n-...

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  5. What is the number of ways of choosing 4 cards from a pack of 52 play...

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  6. A committee of 3 persons is to be constituted from a group of 2 men a...

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  7. A group consists of 4 girls and 7 boys. In how many ways can a team o...

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  8. In how many ways can 5 girls and 3 boys be seated in a row so that no...

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  9. If 1/(8!)+1/(9!)=x/(10 !),find x

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  10. Find the number of permutations of the letters of the word ALLAHABAD.

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  11. Given 4 flags of different colours, how many different signals can be...

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  12. How many 2 digit even numbers can be formed from the digits 1, 2, 3, ...

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  13. Find the number of 4 letter words, with or without meaning, which can...

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  14. Compute (i) (7!)/(5!) (ii) (12 !)/((10 !)(2!))

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  15. Evaluate (n !)/(r !(n-r)!), when n = 5, r = 2.

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  16. Find the number of different signals that can be generated by arrangi...

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  17. Evaluate (i) 5!              (ii) 7!                (iii) 7! – 5!

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  18. Find the number of words with or without meaning which can be made us...

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  19. How many numbers greater than 1000000 can be formed by using the digi...

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  20. How many words, with or without meaning, each of 3 vowels and 2 conso...

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