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Show that there are 136 ways of selecting 4 letters from the word EXAMINATION.

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How many ways of selecting 4 letters from the words EXAMINATION .

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Find the total number of ways of selecting five letters from the word INDEPENDENT.

Find the number of combinations and Permutations of 4 letters taken from the word EXAMINATION .

Express the following sets in set-builder method: A=set of different letters of the word EXAMINATION

The number of words of four letters that can be formed from the letters of the word EXAMINATION is a. 1464 b. 2454 c. 1678 d. none of these

Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each word contains exactly three vowels and two consonants. How many of them have all the vowels together?

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 ?

The number of ways of choosing four letters from the letters of the word MATHEMATICS containing exactly one pair of repeated letters is

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 14-EXERCISE
  1. How many arragements can be made out of the letters of the word FAILUR...

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  2. Calcualte the sum of the series :1+3/2+7/4+15/8+31/16+….+tn

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  3. The equation of three sides of a triangle are x + 2y - 5 = 0, x +y = 6...

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  4. Show that the area of the triangle formed by the lines y = m(1) x + c(...

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  5. Find the equation, centre, and radius of a circle which is passes thro...

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  6. By using section formula, show that the points .(1, 2, 3), (-2, 4, 2) ...

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  7. Evaluate lim(xrarrpi//4)(4sqrt2-(cosx+sinx)^5)/(1-sin2x)

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  8. If f(x)=sqrt2x-sqrt(2/x)+(4-x)/(4-x), find the value of f(2)

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  9. If 2x^3 + 5x = 0, where x is a real number, then x = 0’ examine the st...

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  10. ‘If for any real no x, x^3 + x = 0, then x =0’ prove this by the metho...

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  11. A,B,C and D are four mutually exclusive and exhuastive events. If the ...

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  12. Prove thatcos^2alpha+cos^2(120^@-alpha)+cos^2(120^@+alpha)=3/2

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  13. Prove that tan 70^@ = tan 20^@ + 2 tan 50^@.

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  14. Prove that with the help of mathemetical induction. 4+44+444+...upto n...

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  15. If the roots of the equation ax^2+bx+c=0 are alpha,betaand the roots ...

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  16. Draw the graph and find the common region of the following system of i...

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  17. Show that there are 136 ways of selecting 4 letters from the word EXAM...

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  18. Prove that the least focal chord of a parabolaa is it rectum.

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  19. Find the eccentricity and the equation of directix of the ellipse x^2/...

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  20. Show that the difference of the focal distances of any point on the hy...

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