Exponentiation + multiplication principle - math problems

If n is a positive integer and x is any real number, then x^n corresponds to repeated multiplication x^n=x×x×⋯×x (n times). We can call this “x raised to the power of n,” “x to the power of n,” or simply “x to the n.” Here, x is the base, and n is the exponent or the power.

Number of problems found: 8

  • Cube construction
    222cube A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )
  • Boys and girls
    boy_6 There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that left a) only boys b) just two boys
  • Area codes
    us_codes How many 6 digit area codes are possible if the first number can't be zero?
  • No. of divisors
    triangle_div How many different divisors have number ??
  • Events
    items Event P has probability of 0.84. What is the probability that the event P occurs in 3, 5, 7 try.
  • Subsets
    1venna_sets How many are all subsets of set ??
  • Bits, bytes
    bits Calculate how many different numbers can be encoded in 16-bit binary word?
  • Morse alphabet
    morse_code Calculate how many words of Morse code to create compiling dashes and dots in the words of one to four characters.

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