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How many arithmetic progressions with 10...

How many arithmetic progressions with 10 terms are there whose first term is the set {1, 2, 3} and whose common difference is in the set {2, 3, 4} ?

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The correct Answer is:
9
Required number of `AP's =(3xx3)=9.`
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RS AGGARWAL-PERMUTATIONS-EXERCISE 8B
  1. How many 4 - letter codes can be formed using the first 10 letters of ...

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  2. Given, A = {2, 3, 5} and B = {0, 1}. Find the number of different ord...

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  3. How many arithmetic progressions with 10 terms are there whose first t...

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  4. There are 6 items in column A and 6 items in column B. A student is as...

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  5. A mint prepares metallic calendars specifying months, dates and days i...

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  6. From among the 36 teachers in a school, one principal and one vice-pri...

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  7. A sample of 3 bulbs is tested. A bulb is labelled 'G' if it is good an...

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  8. For a set of five true or false questions, no student hs written the a...

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  9. In how many ways can the following prizes be given away to a class of ...

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  10. Find the total number of ways of answering 5 objective-type questions,...

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  11. A gentleman has 6 friends to invite. In how many ways, can he send inv...

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  12. In how many ways 6 rings of different types can be worn in 4 fingers?

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  13. In how many can 5 letters be posted in 4 letter boxes?

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  14. How many 3-letter words can be formed using a, b, c, d, e if (i) re...

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  15. How many 4-digit numbers are there, when a digit may be repeated any n...

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  16. How many numbers can be formed from digits 1, 3, 5, 9 if repetition of...

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  17. How many 3-digit numbers are there with no digit repeated?

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  18. How many 3-digit numbers can be formed from the digits 0, 1, 3, 5, 7, ...

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  19. How many 6-digit numbers can be formed form the digits 0, 1, 3, 5, 7, ...

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  20. How many natural numbers less than 1000 can be formed from the digits ...

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