(Q). A fruit basket has 5 bananas, 6 Lemon & 5 different type of fruits. In how many ways one can select fruits from this fruit basket?Solution:-we know that the total number of ways of selecting one or more things from ‘p’ identical things of one...
(Q). There are 8 questions in an examination. A student has to answer at least four question to pass the exam, in how many ways he can fail in the exam?Solution:-Student can fail by answering 0 or 1 or 2 or 3 questions in the exam & this can be done in ⁸C₀ + ⁸C₁...
(Q). In a class of 12 students 7 are boys and rest are girls. In how many ways students can be selected for a project such that at least 2 boys & 2 girls are selected?Solution:-Number of ways of selecting at least 2 boys= ⁷C₂ + ⁷C₃ + ⁷C₄ + ⁷C₅ + ⁷C₆ + ⁷C₇= (⁷C₀...
(Q). In a class of 12 students 7 are boy & rest are girls. In how many ways students can be selected for the project such that at least 1 boy & 1 girl is selected.Solution:-Nuber of ways of selecting one or more boys is (2⁷ – 1) = 127 waysNumber of ways...
(Q). A class has 10 students 7 are boys and 3 are girls. In how many ways students can be selected for a project.Solution:-Every student (either boy or girl) has 2 ways of selection → either selected or rejected.∴ students can be selected in 2⁷×2³ = 2¹⁰ = 1024...
(Q). How many factors of 1800 other than 1800 are 4 digit number?Solution:-1800 = 2³×3²×5²So except 1800 itself other largest factor is = = 900 → three digitsHence number of four digit factors = 0 ...
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