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The number of positive integers less than 1000 having only odd digits is

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Important Questions on Permutation and Combination

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IMPORTANT
The number of ways a committee of 4 people can be chosen from a panel of 10 people is
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IMPORTANT
Number of ways of dividing 7 men and 7 women into 7 couples, with a man and woman each is
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The number of diagonals of a polygon with 15 sides is
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A password is set with 3 distinct letters from the word LOGARITHMS. How many such passwords can be formed?
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In a group of 6 boys and 4 girls, a team consisting of four children is formed such that the team has atleast one boy. The number of ways of forming a team like this is