Statements: Q < R = S ≥ T = U; S < V; S = X

Conclusion: I. X ≥ U II. V < Q

Given statements: Q < R = S ≥ T = U…..(i) S < V….(ii) S = X…(iii) From (i) and (iii), we get S = X ≥ T = U Thus, X ≥ U is true. From (i) and (ii), we get Q < R = S < V Thus, Q < V or V > Q is true. But conclusion II is not true.

From a group of 10 men and 7 women, in how many ways can 8 men and 4 women be selected?

Out of 6 men and 3 women a committee of 3 members is to be formed so that it has 2 men and 1 woman. In how many different ways can this be done?

A committee of 5 members is to be formed out of 6 men and 4 women. In how many ways can a committee consisting of atleast 1 woman be formed?

In how many different ways can the letters of the word “INCORPORATION” be arranged so that the vowels comes together?

In how many different ways can the letter of the word ‘STRONG’ be arranged?

In how many different ways can the letters of the word QUANTITY be arranged so that the vowels always come together?

Find the quantity of methods of picking 4 cards from a set of 52 playing cards if four cards are of the same unit?

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