How many cards must be drawn (without replacement) from a standard deck of 52 to guarantee that ten of the cards will be of the
1 answer:
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The main rules that we use here are :
i)
for nonnegative values a and b.
ii)
.
Thus, first 'decompose' the numbers in the radicals into prime factors:
.
By rule (i) we write:
.
We can collect these terms as follows:
, and by rule (ii) we have:
Answer:
.
i)
ii)
Thus, first 'decompose' the numbers in the radicals into prime factors:
By rule (i) we write:
We can collect these terms as follows:
Answer:
Answer:
The least common denominator of the fractions is 24
Step-by-step explanation:
we know that
The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions
so
we have
7/8
Multiples of 8 -------> 8,16,24,32,...
5/6
Multiples of 6 -------> 6,12,18,24,...
24 is a common multiple of 6 and 8. It is their lowest common multiple
<em>Alternative Method</em>
we have
The least common multiple are those common and non-common numbers with the greatest exponent
so