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Evaluate the following : (i) 4!-3!...

Evaluate the following :
(i) `4!-3!`
(ii) `(8!)/(6!2!)`

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The correct Answer is:
(i) 18 (ii) 28
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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -OBJECTIVE TYPE QUESTIONS (D) VERY SHORT ANSWER TYPE QUESTIONS
  1. 1/(6!)+1/(7!)=x/(8!),f i n dx

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  2. If 1/(9!)+1/(10!)=x/(11!) then x=

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  3. Evaluate the following : (i) 4!-3! (ii) (8!)/(6!2!)

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  4. Evaluate (n!)/((n-r)!) when n = 12 and r = 3.

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  5. Find the value of 'r' if ""^(5)P(r )=""^(6)P(r-1).

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  6. Evaluate the following : (i) ""^(8)P(5) (ii) ""^(10)P(3) ...

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  7. Find 'r' when : (i) ""^(10)P(r )=2 ""^(9)P(r ) (ii) ""^(11)P(...

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  8. Find 'n' if 2 ""^(5)P(3)= ""^(n)P(4)

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  9. How many 3-digit even numbers can be formed from the digit 1,2,3,4,5,6...

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  10. How many 3 digit numbers are there, with distinct digits, with each ...

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  11. Find n if .^(n-)P(3): .^(n)P(4) = 1:9.

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  12. Four persons A, B, C and D are to the seated at a circular table. In h...

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  13. In how many ways can 6 beads of same colour form a neclace ?

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  14. If .^(2n)C(3):.^(n)C(3)=12:1, find n.

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  15. If ""^(n)C(8)= ""^(n)C(9), find the value of n.

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  16. If ""^(2n)C(1), ""^(2n)C(2) and ""^(2n)C(3) are in A.P., find n.

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  17. From a class of 32 students, 4 are to be chosen for a competition. In ...

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  18. The no. of ways can 5 sportsmen be selected from a group of 10 sportsm...

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  19. How many selection of 4 books can be made from 8 different books?

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  20. A committee of 2 boys is to be selected from 4 boys. In how many ways ...

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