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How many four-digit odd numbers can be formed by using the digits 1, 2, 3, 4, 5, and 6 if repetition of digits is allowed?

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Important Questions on Permutation and Combination

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Bihar Cooperative Bank Assistant Manager Prelims
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How many four-digit odd numbers can be formed by using the digits 1. 2. 3. 4. 5. and 6 if repetition of digits is no allowed?
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Bihar Cooperative Bank Assistant Manager Prelims
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In a quiz competition, there is a set of ten yes/no type questions. No student gave all the correct answers and no two students have given the same sequence of answers. What is the maximum number of students possible that participated in the competition?
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Bihar Cooperative Bank Assistant Manager Prelims
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In how many ways can four cards be selected from a pack of cards so as to include at least one diamond suit card?
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Bihar Cooperative Bank Assistant Manager Prelims
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Four routes are possible when travelling from Lucknow to Delhi and five routes are from Delhi to Mumbai. In how many ways one can reach Mumbai from Lucknow via Delhi?
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Bihar Cooperative Bank Assistant Manager Prelims
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Five boys and five girls are selected for a dancing competition. If the dance teacher wants to pair them, then how many possible pairs will be formed?

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Bihar Cooperative Bank Assistant Manager Prelims
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How many five-digit numbers can be formed from 1, 2, 3, 4 and 5 (without repetition) such that the digit at the units place is greater than that in the tens place?
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Bihar Cooperative Bank Assistant Manager Prelims
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Two dice are rolled. The number of possible outcomes in which at least one die shows '4'  is
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Bihar Cooperative Bank Assistant Manager Prelims
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Out of 12 points in a plane, 3 are collinear. How many triangles can be formed?