(Q). In the annual function of a school 10 boys & 20 girls danced such that in a particular dance only 1 boy & 1 girl participated. Total how many dance was performed?Solution:- In a dance we have to select one boy out of 10 boys in ¹⁰C₁ = 10 ways, and one...
(Q). In an examination a student has to write 8 papers & has to pass in each paper to pass the exam. In how many ways a student can fail in the exam?Solution:- For every paper there are 2 ways of selection → Pass or Fail.So total number of ways is 2⁸ = 256 &...
(Q). In class (V) there are three sections A, B & C with number of students 50, 70 and 90 respectively while in class (vi) there are three sections A, B & C with number of students 70, 90 & 50 respectively. In how many ways 15 students can be selected...
(Q). In how many ways 8 distinct alphabets can be selected so that no vowel is selected?Solution:- total alphabets = 26 vowels = 5 consonants = 26 – 5 = 21 so we have to select 8 consonants out of 21 consonants & this can be done...
(Q). Given 6 different green dyes, 5 different blue dyes & 4 different red dyes, the number of combination of dyes which can be chosen taking at least one green & one blue dye is?Solution:- one or more (at least one) green dye can be chosen in ⁶C₁ + ⁶C₂ + ⁶C₃...
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