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madam [21]
3 years ago
12

How many different 4 letter arrangements can be formed from the letters in the word cards

Mathematics
1 answer:
RUDIKE [14]3 years ago
5 0
Slot method
1st slot, 5 options
2nd slot, 4 options (1 gone to the first slot)
3rd slot, 3 options (1 gone again)
4th slot,2 options (1 less)

multiply
5*4*3*2=120

answer is 120 arrangements
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Check=

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Semi perimeter:-

\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}

\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}

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Apply heron s formula

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\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}

\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}

\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}

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\\ \rm\rightarrowtail 2.16cm^2

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2 years ago
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Answer:

Step-by-step explanation:

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