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How many numbers can be formed using all...

How many numbers can be formed using all the digits 1,2,3,4,3,2,1 such that even digits always occupy even places ?

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The correct Answer is:
`=(3!)/(2!)xx(4!)/(2!xx2!)=3xx6=18`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PERMUTATIONS AND COMBINATIONS-TAXTUAL EXERCISES
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  2. Find the number of 4 - letter words that can be formed using the lette...

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  3. How many numbers can be formed using all the digits 1,2,3,4,3,2,1 such...

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  4. In a library, there are 6 copies of one book, 4 copies each of two dif...

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  6. Find the number of 5 - digit numbers that can be formed using the digi...

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  7. In how many ways can the letters of the word CHEESE be arranged so tha...

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  8. Find the number of ways of arranging the letters of the word ASSOCIATI...

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  9. Find the number of ways of arranging the letters of the word MISSING s...

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  10. If the letters of the word AJANTA are permuted in all possible ways an...

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  11. If ""^(n)P(4)=210, find n.

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  12. If ""^(12)C(r)=495, find the possible values of (r ).

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  13. If ""^(n)P(r)=5040 and ""^(n)C(r)=210, find n and r.

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  14. If ""^(n)C(4)=""^(n)C(6), find n.

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  15. If ""^(17)C(2t+1)=""^(17)C(3t-5), find t.

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  16. If ""^(9)C(3)+""^(9)C(5)=""^(10)C(r) then find r.

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  17. Find the number of ways of forming a committee of 5 members from 6 men...

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  18. Find the number of ways of forming a committee of 5 members from 6 men...

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  19. Prove that for 3 le" r " le n, ""^((n-3))C(r)+.""^((n-3))C((r-1))+3....

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  20. Find the number of ways of selecting 3 girls and 3 boys out of 7 girls...

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